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Finding the Fourth Proportional to 151,065.60, 208,466.10 and 83,082.84

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Solution

The fourth proportional to 151,065.60, 208,466.10 and 83,082.84 is: 114,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,065.60 : 208,466.10 = 83,082.84 : x
  2. Step 2: Convert to fraction form
    151,065.60/208,466.10 = 83,082.84/x
  3. Step 3: Cross multiply
    151,065.60x = 208,466.10 × 83,082.84
  4. Step 4: Simplify right side
    151,065.60x = 17,319,955,631.72
  5. Step 5: Solve for x
    x = 17,319,955,631.72/151,065.60
  6. Step 6: Final answer
    x = 114,651.88

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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.