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Finding the Fourth Proportional to 153,807.90, 230,711.85 and 83,651.10

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Solution

The fourth proportional to 153,807.90, 230,711.85 and 83,651.10 is: 125,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,807.90 : 230,711.85 = 83,651.10 : x
  2. Step 2: Convert to fraction form
    153,807.90/230,711.85 = 83,651.10/x
  3. Step 3: Cross multiply
    153,807.90x = 230,711.85 × 83,651.10
  4. Step 4: Simplify right side
    153,807.90x = 19,299,300,035.54
  5. Step 5: Solve for x
    x = 19,299,300,035.54/153,807.90
  6. Step 6: Final answer
    x = 125,476.65

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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.