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Finding the Fourth Proportional to 283,098, 424,712.61 and 96,109.50

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Solution

The fourth proportional to 283,098, 424,712.61 and 96,109.50 is: 144,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,098 : 424,712.61 = 96,109.50 : x
  2. Step 2: Convert to fraction form
    283,098/424,712.61 = 96,109.50/x
  3. Step 3: Cross multiply
    283,098x = 424,712.61 × 96,109.50
  4. Step 4: Simplify right side
    283,098x = 40,818,916,590.80
  5. Step 5: Solve for x
    x = 40,818,916,590.80/283,098
  6. Step 6: Final answer
    x = 144,186.52

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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.