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Finding the Fourth Proportional to 283,248.56, 424,726.56 and 83,543.60

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Solution

The fourth proportional to 283,248.56, 424,726.56 and 83,543.60 is: 125,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,248.56 : 424,726.56 = 83,543.60 : x
  2. Step 2: Convert to fraction form
    283,248.56/424,726.56 = 83,543.60/x
  3. Step 3: Cross multiply
    283,248.56x = 424,726.56 × 83,543.60
  4. Step 4: Simplify right side
    283,248.56x = 35,483,185,838.02
  5. Step 5: Solve for x
    x = 35,483,185,838.02/283,248.56
  6. Step 6: Final answer
    x = 125,272.26

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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.