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Finding the Fourth Proportional to 180,729.36, 249,382.80 and 100,152.90

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Solution

The fourth proportional to 180,729.36, 249,382.80 and 100,152.90 is: 138,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,729.36 : 249,382.80 = 100,152.90 : x
  2. Step 2: Convert to fraction form
    180,729.36/249,382.80 = 100,152.90/x
  3. Step 3: Cross multiply
    180,729.36x = 249,382.80 × 100,152.90
  4. Step 4: Simplify right side
    180,729.36x = 24,976,410,630.12
  5. Step 5: Solve for x
    x = 24,976,410,630.12/180,729.36
  6. Step 6: Final answer
    x = 138,197.86

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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.