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Finding the Fourth Proportional to 362,419.59, 543,587.16 and 96,200.79

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Solution

The fourth proportional to 362,419.59, 543,587.16 and 96,200.79 is: 144,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,419.59 : 543,587.16 = 96,200.79 : x
  2. Step 2: Convert to fraction form
    362,419.59/543,587.16 = 96,200.79/x
  3. Step 3: Cross multiply
    362,419.59x = 543,587.16 × 96,200.79
  4. Step 4: Simplify right side
    362,419.59x = 52,293,514,225.86
  5. Step 5: Solve for x
    x = 52,293,514,225.86/362,419.59
  6. Step 6: Final answer
    x = 144,289.98

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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.