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Finding the Fourth Proportional to 151,763.57, 209,435.42 and 83,780.58

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Solution

The fourth proportional to 151,763.57, 209,435.42 and 83,780.58 is: 115,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,763.57 : 209,435.42 = 83,780.58 : x
  2. Step 2: Convert to fraction form
    151,763.57/209,435.42 = 83,780.58/x
  3. Step 3: Cross multiply
    151,763.57x = 209,435.42 × 83,780.58
  4. Step 4: Simplify right side
    151,763.57x = 17,546,620,541.24
  5. Step 5: Solve for x
    x = 17,546,620,541.24/151,763.57
  6. Step 6: Final answer
    x = 115,618.14

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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.