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Finding the Fourth Proportional to 180,957.27, 249,750.98 and 100,410.74

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Solution

The fourth proportional to 180,957.27, 249,750.98 and 100,410.74 is: 138,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,957.27 : 249,750.98 = 100,410.74 : x
  2. Step 2: Convert to fraction form
    180,957.27/249,750.98 = 100,410.74/x
  3. Step 3: Cross multiply
    180,957.27x = 249,750.98 × 100,410.74
  4. Step 4: Simplify right side
    180,957.27x = 25,077,680,279.82
  5. Step 5: Solve for x
    x = 25,077,680,279.82/180,957.27
  6. Step 6: Final answer
    x = 138,583.43

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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.