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Finding the Fourth Proportional to 242,343.97, 334,385.82 and 146,795.15

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Solution

The fourth proportional to 242,343.97, 334,385.82 and 146,795.15 is: 202,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,343.97 : 334,385.82 = 146,795.15 : x
  2. Step 2: Convert to fraction form
    242,343.97/334,385.82 = 146,795.15/x
  3. Step 3: Cross multiply
    242,343.97x = 334,385.82 × 146,795.15
  4. Step 4: Simplify right side
    242,343.97x = 49,086,217,440.74
  5. Step 5: Solve for x
    x = 49,086,217,440.74/242,343.97
  6. Step 6: Final answer
    x = 202,547.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.