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Finding the Fourth Proportional to 292,013.76, 438,020.64 and 102,622.80

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Solution

The fourth proportional to 292,013.76, 438,020.64 and 102,622.80 is: 153,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,013.76 : 438,020.64 = 102,622.80 : x
  2. Step 2: Convert to fraction form
    292,013.76/438,020.64 = 102,622.80/x
  3. Step 3: Cross multiply
    292,013.76x = 438,020.64 × 102,622.80
  4. Step 4: Simplify right side
    292,013.76x = 44,950,904,534.59
  5. Step 5: Solve for x
    x = 44,950,904,534.59/292,013.76
  6. Step 6: Final answer
    x = 153,934.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.