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Finding the Fourth Proportional to 134,376.38, 185,447.06 and 77,025.24

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Solution

The fourth proportional to 134,376.38, 185,447.06 and 77,025.24 is: 106,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,376.38 : 185,447.06 = 77,025.24 : x
  2. Step 2: Convert to fraction form
    134,376.38/185,447.06 = 77,025.24/x
  3. Step 3: Cross multiply
    134,376.38x = 185,447.06 × 77,025.24
  4. Step 4: Simplify right side
    134,376.38x = 14,284,104,303.79
  5. Step 5: Solve for x
    x = 14,284,104,303.79/134,376.38
  6. Step 6: Final answer
    x = 106,299.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.