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Finding the Fourth Proportional to 144,732.30, 199,657.10 and 98,757.46

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Solution

The fourth proportional to 144,732.30, 199,657.10 and 98,757.46 is: 136,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,732.30 : 199,657.10 = 98,757.46 : x
  2. Step 2: Convert to fraction form
    144,732.30/199,657.10 = 98,757.46/x
  3. Step 3: Cross multiply
    144,732.30x = 199,657.10 × 98,757.46
  4. Step 4: Simplify right side
    144,732.30x = 19,717,627,573.18
  5. Step 5: Solve for x
    x = 19,717,627,573.18/144,732.30
  6. Step 6: Final answer
    x = 136,235.16

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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.