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Finding the Fourth Proportional to 180,787.91, 249,461.07 and 100,215.38

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Solution

The fourth proportional to 180,787.91, 249,461.07 and 100,215.38 is: 138,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,787.91 : 249,461.07 = 100,215.38 : x
  2. Step 2: Convert to fraction form
    180,787.91/249,461.07 = 100,215.38/x
  3. Step 3: Cross multiply
    180,787.91x = 249,461.07 × 100,215.38
  4. Step 4: Simplify right side
    180,787.91x = 24,999,834,677.95
  5. Step 5: Solve for x
    x = 24,999,834,677.95/180,787.91
  6. Step 6: Final answer
    x = 138,282.67

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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.