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Finding the Fourth Proportional to 180,794.34, 249,492.20 and 100,221.17

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Solution

The fourth proportional to 180,794.34, 249,492.20 and 100,221.17 is: 138,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,794.34 : 249,492.20 = 100,221.17 : x
  2. Step 2: Convert to fraction form
    180,794.34/249,492.20 = 100,221.17/x
  3. Step 3: Cross multiply
    180,794.34x = 249,492.20 × 100,221.17
  4. Step 4: Simplify right side
    180,794.34x = 25,004,398,441.31
  5. Step 5: Solve for x
    x = 25,004,398,441.31/180,794.34
  6. Step 6: Final answer
    x = 138,302.99

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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.