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Finding the Fourth Proportional to 96,233.80, 144,273.90 and 40,784.20

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Solution

The fourth proportional to 96,233.80, 144,273.90 and 40,784.20 is: 61,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,233.80 : 144,273.90 = 40,784.20 : x
  2. Step 2: Convert to fraction form
    96,233.80/144,273.90 = 40,784.20/x
  3. Step 3: Cross multiply
    96,233.80x = 144,273.90 × 40,784.20
  4. Step 4: Simplify right side
    96,233.80x = 5,884,095,592.38
  5. Step 5: Solve for x
    x = 5,884,095,592.38/96,233.80
  6. Step 6: Final answer
    x = 61,143.75

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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.