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Finding the Fourth Proportional to 125,386.24, 187,956.72 and 45,400

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Solution

The fourth proportional to 125,386.24, 187,956.72 and 45,400 is: 68,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,386.24 : 187,956.72 = 45,400 : x
  2. Step 2: Convert to fraction form
    125,386.24/187,956.72 = 45,400/x
  3. Step 3: Cross multiply
    125,386.24x = 187,956.72 × 45,400
  4. Step 4: Simplify right side
    125,386.24x = 8,533,235,088
  5. Step 5: Solve for x
    x = 8,533,235,088/125,386.24
  6. Step 6: Final answer
    x = 68,055.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.