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Finding the Fourth Proportional to 223,817.84, 308,815.40 and 127,000.16

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Solution

The fourth proportional to 223,817.84, 308,815.40 and 127,000.16 is: 175,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,817.84 : 308,815.40 = 127,000.16 : x
  2. Step 2: Convert to fraction form
    223,817.84/308,815.40 = 127,000.16/x
  3. Step 3: Cross multiply
    223,817.84x = 308,815.40 × 127,000.16
  4. Step 4: Simplify right side
    223,817.84x = 39,219,605,210.46
  5. Step 5: Solve for x
    x = 39,219,605,210.46/223,817.84
  6. Step 6: Final answer
    x = 175,230.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.