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Finding the Fourth Proportional to 147,097.60, 220,784.64 and 77,027.20

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Solution

The fourth proportional to 147,097.60, 220,784.64 and 77,027.20 is: 115,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,097.60 : 220,784.64 = 77,027.20 : x
  2. Step 2: Convert to fraction form
    147,097.60/220,784.64 = 77,027.20/x
  3. Step 3: Cross multiply
    147,097.60x = 220,784.64 × 77,027.20
  4. Step 4: Simplify right side
    147,097.60x = 17,006,422,622.21
  5. Step 5: Solve for x
    x = 17,006,422,622.21/147,097.60
  6. Step 6: Final answer
    x = 115,613.19

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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.