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Finding the Fourth Proportional to 180,752, 249,437.28 and 100,179.68

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Solution

The fourth proportional to 180,752, 249,437.28 and 100,179.68 is: 138,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,752 : 249,437.28 = 100,179.68 : x
  2. Step 2: Convert to fraction form
    180,752/249,437.28 = 100,179.68/x
  3. Step 3: Cross multiply
    180,752x = 249,437.28 × 100,179.68
  4. Step 4: Simplify right side
    180,752x = 24,988,546,890.47
  5. Step 5: Solve for x
    x = 24,988,546,890.47/180,752
  6. Step 6: Final answer
    x = 138,247.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.