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Finding the Fourth Proportional to 123,527.70, 185,291.55 and 61,319.70

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Solution

The fourth proportional to 123,527.70, 185,291.55 and 61,319.70 is: 91,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,527.70 : 185,291.55 = 61,319.70 : x
  2. Step 2: Convert to fraction form
    123,527.70/185,291.55 = 61,319.70/x
  3. Step 3: Cross multiply
    123,527.70x = 185,291.55 × 61,319.70
  4. Step 4: Simplify right side
    123,527.70x = 11,362,022,258.54
  5. Step 5: Solve for x
    x = 11,362,022,258.54/123,527.70
  6. Step 6: Final answer
    x = 91,979.55

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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.