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Finding the Fourth Proportional to 145,456.38, 200,615.93 and 99,543.21

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Solution

The fourth proportional to 145,456.38, 200,615.93 and 99,543.21 is: 137,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,456.38 : 200,615.93 = 99,543.21 : x
  2. Step 2: Convert to fraction form
    145,456.38/200,615.93 = 99,543.21/x
  3. Step 3: Cross multiply
    145,456.38x = 200,615.93 × 99,543.21
  4. Step 4: Simplify right side
    145,456.38x = 19,969,953,151.62
  5. Step 5: Solve for x
    x = 19,969,953,151.62/145,456.38
  6. Step 6: Final answer
    x = 137,291.70

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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.