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Finding the Fourth Proportional to 180,195.84, 271,510.08 and 149,293.53

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Solution

The fourth proportional to 180,195.84, 271,510.08 and 149,293.53 is: 224,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,195.84 : 271,510.08 = 149,293.53 : x
  2. Step 2: Convert to fraction form
    180,195.84/271,510.08 = 149,293.53/x
  3. Step 3: Cross multiply
    180,195.84x = 271,510.08 × 149,293.53
  4. Step 4: Simplify right side
    180,195.84x = 40,534,697,713.93
  5. Step 5: Solve for x
    x = 40,534,697,713.93/180,195.84
  6. Step 6: Final answer
    x = 224,948.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.