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Finding the Fourth Proportional to 180,702.36, 249,374.72 and 100,122.35

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Solution

The fourth proportional to 180,702.36, 249,374.72 and 100,122.35 is: 138,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,702.36 : 249,374.72 = 100,122.35 : x
  2. Step 2: Convert to fraction form
    180,702.36/249,374.72 = 100,122.35/x
  3. Step 3: Cross multiply
    180,702.36x = 249,374.72 × 100,122.35
  4. Step 4: Simplify right side
    180,702.36x = 24,967,982,000.42
  5. Step 5: Solve for x
    x = 24,967,982,000.42/180,702.36
  6. Step 6: Final answer
    x = 138,171.86

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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.