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Finding the Fourth Proportional to 123,077.60, 184,227.60 and 96,639.20

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Solution

The fourth proportional to 123,077.60, 184,227.60 and 96,639.20 is: 144,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,077.60 : 184,227.60 = 96,639.20 : x
  2. Step 2: Convert to fraction form
    123,077.60/184,227.60 = 96,639.20/x
  3. Step 3: Cross multiply
    123,077.60x = 184,227.60 × 96,639.20
  4. Step 4: Simplify right side
    123,077.60x = 17,803,607,881.92
  5. Step 5: Solve for x
    x = 17,803,607,881.92/123,077.60
  6. Step 6: Final answer
    x = 144,653.52

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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.