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Finding the Fourth Proportional to 180,714.96, 249,388.10 and 100,143.82

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Solution

The fourth proportional to 180,714.96, 249,388.10 and 100,143.82 is: 138,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,714.96 : 249,388.10 = 100,143.82 : x
  2. Step 2: Convert to fraction form
    180,714.96/249,388.10 = 100,143.82/x
  3. Step 3: Cross multiply
    180,714.96x = 249,388.10 × 100,143.82
  4. Step 4: Simplify right side
    180,714.96x = 24,974,676,996.54
  5. Step 5: Solve for x
    x = 24,974,676,996.54/180,714.96
  6. Step 6: Final answer
    x = 138,199.28

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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.