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Finding the Fourth Proportional to 180,786.52, 249,459.18 and 100,214

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Solution

The fourth proportional to 180,786.52, 249,459.18 and 100,214 is: 138,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,786.52 : 249,459.18 = 100,214 : x
  2. Step 2: Convert to fraction form
    180,786.52/249,459.18 = 100,214/x
  3. Step 3: Cross multiply
    180,786.52x = 249,459.18 × 100,214
  4. Step 4: Simplify right side
    180,786.52x = 24,999,302,264.52
  5. Step 5: Solve for x
    x = 24,999,302,264.52/180,786.52
  6. Step 6: Final answer
    x = 138,280.79

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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.