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Finding the Fourth Proportional to 180,452.16, 249,049.44 and 105,024.96

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Solution

The fourth proportional to 180,452.16, 249,049.44 and 105,024.96 is: 144,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,452.16 : 249,049.44 = 105,024.96 : x
  2. Step 2: Convert to fraction form
    180,452.16/249,049.44 = 105,024.96/x
  3. Step 3: Cross multiply
    180,452.16x = 249,049.44 × 105,024.96
  4. Step 4: Simplify right side
    180,452.16x = 26,156,407,474.02
  5. Step 5: Solve for x
    x = 26,156,407,474.02/180,452.16
  6. Step 6: Final answer
    x = 144,949.26

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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.