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Finding the Fourth Proportional to 242,117.30, 363,046.35 and 101,717.30

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Solution

The fourth proportional to 242,117.30, 363,046.35 and 101,717.30 is: 152,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,117.30 : 363,046.35 = 101,717.30 : x
  2. Step 2: Convert to fraction form
    242,117.30/363,046.35 = 101,717.30/x
  3. Step 3: Cross multiply
    242,117.30x = 363,046.35 × 101,717.30
  4. Step 4: Simplify right side
    242,117.30x = 36,928,094,496.86
  5. Step 5: Solve for x
    x = 36,928,094,496.86/242,117.30
  6. Step 6: Final answer
    x = 152,521.50

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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.