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Finding the Fourth Proportional to 223,813.56, 308,861.10 and 123,209.40

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Solution

The fourth proportional to 223,813.56, 308,861.10 and 123,209.40 is: 170,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,813.56 : 308,861.10 = 123,209.40 : x
  2. Step 2: Convert to fraction form
    223,813.56/308,861.10 = 123,209.40/x
  3. Step 3: Cross multiply
    223,813.56x = 308,861.10 × 123,209.40
  4. Step 4: Simplify right side
    223,813.56x = 38,054,590,814.34
  5. Step 5: Solve for x
    x = 38,054,590,814.34/223,813.56
  6. Step 6: Final answer
    x = 170,028.08

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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.