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Finding the Fourth Proportional to 180,894.14, 249,649.24 and 100,347.61

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Solution

The fourth proportional to 180,894.14, 249,649.24 and 100,347.61 is: 138,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,894.14 : 249,649.24 = 100,347.61 : x
  2. Step 2: Convert to fraction form
    180,894.14/249,649.24 = 100,347.61/x
  3. Step 3: Cross multiply
    180,894.14x = 249,649.24 × 100,347.61
  4. Step 4: Simplify right side
    180,894.14x = 25,051,704,353.57
  5. Step 5: Solve for x
    x = 25,051,704,353.57/180,894.14
  6. Step 6: Final answer
    x = 138,488.21

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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.