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Finding the Fourth Proportional to 238,533.60, 357,757.12 and 96,373.60

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Solution

The fourth proportional to 238,533.60, 357,757.12 and 96,373.60 is: 144,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,533.60 : 357,757.12 = 96,373.60 : x
  2. Step 2: Convert to fraction form
    238,533.60/357,757.12 = 96,373.60/x
  3. Step 3: Cross multiply
    238,533.60x = 357,757.12 × 96,373.60
  4. Step 4: Simplify right side
    238,533.60x = 34,478,341,580.03
  5. Step 5: Solve for x
    x = 34,478,341,580.03/238,533.60
  6. Step 6: Final answer
    x = 144,542.91

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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.