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Finding the Fourth Proportional to 180,924.34, 249,512.21 and 112,947.59

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Solution

The fourth proportional to 180,924.34, 249,512.21 and 112,947.59 is: 155,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,924.34 : 249,512.21 = 112,947.59 : x
  2. Step 2: Convert to fraction form
    180,924.34/249,512.21 = 112,947.59/x
  3. Step 3: Cross multiply
    180,924.34x = 249,512.21 × 112,947.59
  4. Step 4: Simplify right side
    180,924.34x = 28,181,802,854.12
  5. Step 5: Solve for x
    x = 28,181,802,854.12/180,924.34
  6. Step 6: Final answer
    x = 155,765.68

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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.