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Finding the Fourth Proportional to 363,935.52, 545,903.28 and 142,164

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Solution

The fourth proportional to 363,935.52, 545,903.28 and 142,164 is: 213,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,935.52 : 545,903.28 = 142,164 : x
  2. Step 2: Convert to fraction form
    363,935.52/545,903.28 = 142,164/x
  3. Step 3: Cross multiply
    363,935.52x = 545,903.28 × 142,164
  4. Step 4: Simplify right side
    363,935.52x = 77,607,793,897.92
  5. Step 5: Solve for x
    x = 77,607,793,897.92/363,935.52
  6. Step 6: Final answer
    x = 213,246.00

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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.