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Finding the Fourth Proportional to 180,847.52, 249,568.35 and 100,275.08

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Solution

The fourth proportional to 180,847.52, 249,568.35 and 100,275.08 is: 138,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,847.52 : 249,568.35 = 100,275.08 : x
  2. Step 2: Convert to fraction form
    180,847.52/249,568.35 = 100,275.08/x
  3. Step 3: Cross multiply
    180,847.52x = 249,568.35 × 100,275.08
  4. Step 4: Simplify right side
    180,847.52x = 25,025,486,261.72
  5. Step 5: Solve for x
    x = 25,025,486,261.72/180,847.52
  6. Step 6: Final answer
    x = 138,378.93

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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.