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Finding the Fourth Proportional to 130,649.05, 180,295.40 and 72,514.69

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Solution

The fourth proportional to 130,649.05, 180,295.40 and 72,514.69 is: 100,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,649.05 : 180,295.40 = 72,514.69 : x
  2. Step 2: Convert to fraction form
    130,649.05/180,295.40 = 72,514.69/x
  3. Step 3: Cross multiply
    130,649.05x = 180,295.40 × 72,514.69
  4. Step 4: Simplify right side
    130,649.05x = 13,074,065,240.28
  5. Step 5: Solve for x
    x = 13,074,065,240.28/130,649.05
  6. Step 6: Final answer
    x = 100,070.11

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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.