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Finding the Fourth Proportional to 180,709.56, 249,368.62 and 100,132.24

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Solution

The fourth proportional to 180,709.56, 249,368.62 and 100,132.24 is: 138,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,709.56 : 249,368.62 = 100,132.24 : x
  2. Step 2: Convert to fraction form
    180,709.56/249,368.62 = 100,132.24/x
  3. Step 3: Cross multiply
    180,709.56x = 249,368.62 × 100,132.24
  4. Step 4: Simplify right side
    180,709.56x = 24,969,838,506.31
  5. Step 5: Solve for x
    x = 24,969,838,506.31/180,709.56
  6. Step 6: Final answer
    x = 138,176.63

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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.