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Finding the Fourth Proportional to 284,446.08, 392,528.16 and 157,101.12

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Solution

The fourth proportional to 284,446.08, 392,528.16 and 157,101.12 is: 216,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,446.08 : 392,528.16 = 157,101.12 : x
  2. Step 2: Convert to fraction form
    284,446.08/392,528.16 = 157,101.12/x
  3. Step 3: Cross multiply
    284,446.08x = 392,528.16 × 157,101.12
  4. Step 4: Simplify right side
    284,446.08x = 61,666,613,567.54
  5. Step 5: Solve for x
    x = 61,666,613,567.54/284,446.08
  6. Step 6: Final answer
    x = 216,795.44

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