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Finding the Fourth Proportional to 150,582.40, 207,800.64 and 83,514.40

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Solution

The fourth proportional to 150,582.40, 207,800.64 and 83,514.40 is: 115,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,582.40 : 207,800.64 = 83,514.40 : x
  2. Step 2: Convert to fraction form
    150,582.40/207,800.64 = 83,514.40/x
  3. Step 3: Cross multiply
    150,582.40x = 207,800.64 × 83,514.40
  4. Step 4: Simplify right side
    150,582.40x = 17,354,345,769.22
  5. Step 5: Solve for x
    x = 17,354,345,769.22/150,582.40
  6. Step 6: Final answer
    x = 115,248.17

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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.