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Finding the Fourth Proportional to 130,777.68, 180,574.56 and 100,514.64

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Solution

The fourth proportional to 130,777.68, 180,574.56 and 100,514.64 is: 138,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,777.68 : 180,574.56 = 100,514.64 : x
  2. Step 2: Convert to fraction form
    130,777.68/180,574.56 = 100,514.64/x
  3. Step 3: Cross multiply
    130,777.68x = 180,574.56 × 100,514.64
  4. Step 4: Simplify right side
    130,777.68x = 18,150,386,891.56
  5. Step 5: Solve for x
    x = 18,150,386,891.56/130,777.68
  6. Step 6: Final answer
    x = 138,788.11

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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.