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Finding the Fourth Proportional to 242,358.84, 363,300.12 and 115,963.20

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Solution

The fourth proportional to 242,358.84, 363,300.12 and 115,963.20 is: 173,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,358.84 : 363,300.12 = 115,963.20 : x
  2. Step 2: Convert to fraction form
    242,358.84/363,300.12 = 115,963.20/x
  3. Step 3: Cross multiply
    242,358.84x = 363,300.12 × 115,963.20
  4. Step 4: Simplify right side
    242,358.84x = 42,129,444,475.58
  5. Step 5: Solve for x
    x = 42,129,444,475.58/242,358.84
  6. Step 6: Final answer
    x = 173,830.86

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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.