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Finding the Fourth Proportional to 180,596, 249,222 and 100,029.92

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Solution

The fourth proportional to 180,596, 249,222 and 100,029.92 is: 138,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,596 : 249,222 = 100,029.92 : x
  2. Step 2: Convert to fraction form
    180,596/249,222 = 100,029.92/x
  3. Step 3: Cross multiply
    180,596x = 249,222 × 100,029.92
  4. Step 4: Simplify right side
    180,596x = 24,929,656,722.24
  5. Step 5: Solve for x
    x = 24,929,656,722.24/180,596
  6. Step 6: Final answer
    x = 138,041.02

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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.