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Finding the Fourth Proportional to 284,071.38, 392,018.07 and 156,746.94

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Solution

The fourth proportional to 284,071.38, 392,018.07 and 156,746.94 is: 216,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,071.38 : 392,018.07 = 156,746.94 : x
  2. Step 2: Convert to fraction form
    284,071.38/392,018.07 = 156,746.94/x
  3. Step 3: Cross multiply
    284,071.38x = 392,018.07 × 156,746.94
  4. Step 4: Simplify right side
    284,071.38x = 61,447,632,897.21
  5. Step 5: Solve for x
    x = 61,447,632,897.21/284,071.38
  6. Step 6: Final answer
    x = 216,310.54

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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.