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Finding the Fourth Proportional to 147,952.60, 222,068.10 and 77,882.20

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Solution

The fourth proportional to 147,952.60, 222,068.10 and 77,882.20 is: 116,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,952.60 : 222,068.10 = 77,882.20 : x
  2. Step 2: Convert to fraction form
    147,952.60/222,068.10 = 77,882.20/x
  3. Step 3: Cross multiply
    147,952.60x = 222,068.10 × 77,882.20
  4. Step 4: Simplify right side
    147,952.60x = 17,295,152,177.82
  5. Step 5: Solve for x
    x = 17,295,152,177.82/147,952.60
  6. Step 6: Final answer
    x = 116,896.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.