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Finding the Fourth Proportional to 151,657.30, 209,287.80 and 83,674.27

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Solution

The fourth proportional to 151,657.30, 209,287.80 and 83,674.27 is: 115,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,657.30 : 209,287.80 = 83,674.27 : x
  2. Step 2: Convert to fraction form
    151,657.30/209,287.80 = 83,674.27/x
  3. Step 3: Cross multiply
    151,657.30x = 209,287.80 × 83,674.27
  4. Step 4: Simplify right side
    151,657.30x = 17,512,003,884.91
  5. Step 5: Solve for x
    x = 17,512,003,884.91/151,657.30
  6. Step 6: Final answer
    x = 115,470.89

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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.