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Finding the Fourth Proportional to 150,422.40, 207,582.48 and 83,354.40

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Solution

The fourth proportional to 150,422.40, 207,582.48 and 83,354.40 is: 115,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,422.40 : 207,582.48 = 83,354.40 : x
  2. Step 2: Convert to fraction form
    150,422.40/207,582.48 = 83,354.40/x
  3. Step 3: Cross multiply
    150,422.40x = 207,582.48 × 83,354.40
  4. Step 4: Simplify right side
    150,422.40x = 17,302,913,070.91
  5. Step 5: Solve for x
    x = 17,302,913,070.91/150,422.40
  6. Step 6: Final answer
    x = 115,028.83

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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.