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Finding the Fourth Proportional to 151,760.70, 209,428.62 and 83,777.70

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Solution

The fourth proportional to 151,760.70, 209,428.62 and 83,777.70 is: 115,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,760.70 : 209,428.62 = 83,777.70 : x
  2. Step 2: Convert to fraction form
    151,760.70/209,428.62 = 83,777.70/x
  3. Step 3: Cross multiply
    151,760.70x = 209,428.62 × 83,777.70
  4. Step 4: Simplify right side
    151,760.70x = 17,545,448,097.77
  5. Step 5: Solve for x
    x = 17,545,448,097.77/151,760.70
  6. Step 6: Final answer
    x = 115,612.59

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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.