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Finding the Fourth Proportional to 147,953.60, 222,069.60 and 77,883.20

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Solution

The fourth proportional to 147,953.60, 222,069.60 and 77,883.20 is: 116,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,953.60 : 222,069.60 = 77,883.20 : x
  2. Step 2: Convert to fraction form
    147,953.60/222,069.60 = 77,883.20/x
  3. Step 3: Cross multiply
    147,953.60x = 222,069.60 × 77,883.20
  4. Step 4: Simplify right side
    147,953.60x = 17,295,491,070.72
  5. Step 5: Solve for x
    x = 17,295,491,070.72/147,953.60
  6. Step 6: Final answer
    x = 116,898.08

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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.