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Finding the Fourth Proportional to 224,566.84, 309,901.50 and 123,964.12

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Solution

The fourth proportional to 224,566.84, 309,901.50 and 123,964.12 is: 171,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,566.84 : 309,901.50 = 123,964.12 : x
  2. Step 2: Convert to fraction form
    224,566.84/309,901.50 = 123,964.12/x
  3. Step 3: Cross multiply
    224,566.84x = 309,901.50 × 123,964.12
  4. Step 4: Simplify right side
    224,566.84x = 38,416,666,734.18
  5. Step 5: Solve for x
    x = 38,416,666,734.18/224,566.84
  6. Step 6: Final answer
    x = 171,070.08

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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.