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Finding the Fourth Proportional to 130,820.24, 180,526.92 and 74,228.24

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Solution

The fourth proportional to 130,820.24, 180,526.92 and 74,228.24 is: 102,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,820.24 : 180,526.92 = 74,228.24 : x
  2. Step 2: Convert to fraction form
    130,820.24/180,526.92 = 74,228.24/x
  3. Step 3: Cross multiply
    130,820.24x = 180,526.92 × 74,228.24
  4. Step 4: Simplify right side
    130,820.24x = 13,400,195,544.22
  5. Step 5: Solve for x
    x = 13,400,195,544.22/130,820.24
  6. Step 6: Final answer
    x = 102,432.13

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