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Finding the Fourth Proportional to 283,221.16, 424,730.55 and 93,646.53

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Solution

The fourth proportional to 283,221.16, 424,730.55 and 93,646.53 is: 140,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,221.16 : 424,730.55 = 93,646.53 : x
  2. Step 2: Convert to fraction form
    283,221.16/424,730.55 = 93,646.53/x
  3. Step 3: Cross multiply
    283,221.16x = 424,730.55 × 93,646.53
  4. Step 4: Simplify right side
    283,221.16x = 39,774,542,543.67
  5. Step 5: Solve for x
    x = 39,774,542,543.67/283,221.16
  6. Step 6: Final answer
    x = 140,436.34

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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.