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Finding the Fourth Proportional to 284,170.69, 392,127.62 and 156,838.08

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Solution

The fourth proportional to 284,170.69, 392,127.62 and 156,838.08 is: 216,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,170.69 : 392,127.62 = 156,838.08 : x
  2. Step 2: Convert to fraction form
    284,170.69/392,127.62 = 156,838.08/x
  3. Step 3: Cross multiply
    284,170.69x = 392,127.62 × 156,838.08
  4. Step 4: Simplify right side
    284,170.69x = 61,500,540,290.94
  5. Step 5: Solve for x
    x = 61,500,540,290.94/284,170.69
  6. Step 6: Final answer
    x = 216,421.12

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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.