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Finding the Fourth Proportional to 284,142.89, 392,168.03 and 169,428.93

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Solution

The fourth proportional to 284,142.89, 392,168.03 and 169,428.93 is: 233,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,142.89 : 392,168.03 = 169,428.93 : x
  2. Step 2: Convert to fraction form
    284,142.89/392,168.03 = 169,428.93/x
  3. Step 3: Cross multiply
    284,142.89x = 392,168.03 × 169,428.93
  4. Step 4: Simplify right side
    284,142.89x = 66,444,609,703.11
  5. Step 5: Solve for x
    x = 66,444,609,703.11/284,142.89
  6. Step 6: Final answer
    x = 233,842.24

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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.