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Finding the Fourth Proportional to 151,473.49, 209,034.88 and 83,493.12

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Solution

The fourth proportional to 151,473.49, 209,034.88 and 83,493.12 is: 115,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,473.49 : 209,034.88 = 83,493.12 : x
  2. Step 2: Convert to fraction form
    151,473.49/209,034.88 = 83,493.12/x
  3. Step 3: Cross multiply
    151,473.49x = 209,034.88 × 83,493.12
  4. Step 4: Simplify right side
    151,473.49x = 17,452,974,895.17
  5. Step 5: Solve for x
    x = 17,452,974,895.17/151,473.49
  6. Step 6: Final answer
    x = 115,221.32

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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.