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Finding the Fourth Proportional to 123,345.60, 185,212.80 and 70,857.60

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Solution

The fourth proportional to 123,345.60, 185,212.80 and 70,857.60 is: 106,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,345.60 : 185,212.80 = 70,857.60 : x
  2. Step 2: Convert to fraction form
    123,345.60/185,212.80 = 70,857.60/x
  3. Step 3: Cross multiply
    123,345.60x = 185,212.80 × 70,857.60
  4. Step 4: Simplify right side
    123,345.60x = 13,123,734,497.28
  5. Step 5: Solve for x
    x = 13,123,734,497.28/123,345.60
  6. Step 6: Final answer
    x = 106,398.08

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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.