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Finding the Fourth Proportional to 180,719.29, 249,381.34 and 100,142.11

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Solution

The fourth proportional to 180,719.29, 249,381.34 and 100,142.11 is: 138,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,719.29 : 249,381.34 = 100,142.11 : x
  2. Step 2: Convert to fraction form
    180,719.29/249,381.34 = 100,142.11/x
  3. Step 3: Cross multiply
    180,719.29x = 249,381.34 × 100,142.11
  4. Step 4: Simplify right side
    180,719.29x = 24,973,573,582.23
  5. Step 5: Solve for x
    x = 24,973,573,582.23/180,719.29
  6. Step 6: Final answer
    x = 138,189.86

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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.