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Finding the Fourth Proportional to 130,465.40, 180,039.20 and 76,753.88

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Solution

The fourth proportional to 130,465.40, 180,039.20 and 76,753.88 is: 105,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,465.40 : 180,039.20 = 76,753.88 : x
  2. Step 2: Convert to fraction form
    130,465.40/180,039.20 = 76,753.88/x
  3. Step 3: Cross multiply
    130,465.40x = 180,039.20 × 76,753.88
  4. Step 4: Simplify right side
    130,465.40x = 13,818,707,152.10
  5. Step 5: Solve for x
    x = 13,818,707,152.10/130,465.40
  6. Step 6: Final answer
    x = 105,918.56

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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.