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Finding the Fourth Proportional to 178,605.01, 267,756.85 and 147,016.63

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Solution

The fourth proportional to 178,605.01, 267,756.85 and 147,016.63 is: 220,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,605.01 : 267,756.85 = 147,016.63 : x
  2. Step 2: Convert to fraction form
    178,605.01/267,756.85 = 147,016.63/x
  3. Step 3: Cross multiply
    178,605.01x = 267,756.85 × 147,016.63
  4. Step 4: Simplify right side
    178,605.01x = 39,364,709,746.42
  5. Step 5: Solve for x
    x = 39,364,709,746.42/178,605.01
  6. Step 6: Final answer
    x = 220,400.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.