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Finding the Fourth Proportional to 284,475.12, 392,561.16 and 157,126.08

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Solution

The fourth proportional to 284,475.12, 392,561.16 and 157,126.08 is: 216,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,475.12 : 392,561.16 = 157,126.08 : x
  2. Step 2: Convert to fraction form
    284,475.12/392,561.16 = 157,126.08/x
  3. Step 3: Cross multiply
    284,475.12x = 392,561.16 × 157,126.08
  4. Step 4: Simplify right side
    284,475.12x = 61,681,596,231.05
  5. Step 5: Solve for x
    x = 61,681,596,231.05/284,475.12
  6. Step 6: Final answer
    x = 216,825.98

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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.