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Finding the Fourth Proportional to 180,796.47, 249,482.35 and 100,217.14

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Solution

The fourth proportional to 180,796.47, 249,482.35 and 100,217.14 is: 138,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,796.47 : 249,482.35 = 100,217.14 : x
  2. Step 2: Convert to fraction form
    180,796.47/249,482.35 = 100,217.14/x
  3. Step 3: Cross multiply
    180,796.47x = 249,482.35 × 100,217.14
  4. Step 4: Simplify right side
    180,796.47x = 25,002,407,099.04
  5. Step 5: Solve for x
    x = 25,002,407,099.04/180,796.47
  6. Step 6: Final answer
    x = 138,290.35

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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.