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Finding the Fourth Proportional to 242,402.70, 363,604.05 and 147,924.30

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Solution

The fourth proportional to 242,402.70, 363,604.05 and 147,924.30 is: 221,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,402.70 : 363,604.05 = 147,924.30 : x
  2. Step 2: Convert to fraction form
    242,402.70/363,604.05 = 147,924.30/x
  3. Step 3: Cross multiply
    242,402.70x = 363,604.05 × 147,924.30
  4. Step 4: Simplify right side
    242,402.70x = 53,785,874,573.42
  5. Step 5: Solve for x
    x = 53,785,874,573.42/242,402.70
  6. Step 6: Final answer
    x = 221,886.45

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1.5x scale

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.