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Finding the Fourth Proportional to 242,086.76, 363,078.30 and 101,807.72

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Solution

The fourth proportional to 242,086.76, 363,078.30 and 101,807.72 is: 152,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,086.76 : 363,078.30 = 101,807.72 : x
  2. Step 2: Convert to fraction form
    242,086.76/363,078.30 = 101,807.72/x
  3. Step 3: Cross multiply
    242,086.76x = 363,078.30 × 101,807.72
  4. Step 4: Simplify right side
    242,086.76x = 36,964,173,904.48
  5. Step 5: Solve for x
    x = 36,964,173,904.48/242,086.76
  6. Step 6: Final answer
    x = 152,689.78

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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.