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Finding the Fourth Proportional to 180,649.73, 249,296.48 and 98,978.04

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Solution

The fourth proportional to 180,649.73, 249,296.48 and 98,978.04 is: 136,589.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,649.73 : 249,296.48 = 98,978.04 : x
  2. Step 2: Convert to fraction form
    180,649.73/249,296.48 = 98,978.04/x
  3. Step 3: Cross multiply
    180,649.73x = 249,296.48 × 98,978.04
  4. Step 4: Simplify right side
    180,649.73x = 24,674,876,474.41
  5. Step 5: Solve for x
    x = 24,674,876,474.41/180,649.73
  6. Step 6: Final answer
    x = 136,589.62

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1.5x scale

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.