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Finding the Fourth Proportional to 150,566.49, 207,781.74 and 83,498.49

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Solution

The fourth proportional to 150,566.49, 207,781.74 and 83,498.49 is: 115,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,566.49 : 207,781.74 = 83,498.49 : x
  2. Step 2: Convert to fraction form
    150,566.49/207,781.74 = 83,498.49/x
  3. Step 3: Cross multiply
    150,566.49x = 207,781.74 × 83,498.49
  4. Step 4: Simplify right side
    150,566.49x = 17,349,461,539.57
  5. Step 5: Solve for x
    x = 17,349,461,539.57/150,566.49
  6. Step 6: Final answer
    x = 115,227.91

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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.