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Finding the Fourth Proportional to 140,447.46, 210,691.16 and 45,647.16

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Solution

The fourth proportional to 140,447.46, 210,691.16 and 45,647.16 is: 68,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,447.46 : 210,691.16 = 45,647.16 : x
  2. Step 2: Convert to fraction form
    140,447.46/210,691.16 = 45,647.16/x
  3. Step 3: Cross multiply
    140,447.46x = 210,691.16 × 45,647.16
  4. Step 4: Simplify right side
    140,447.46x = 9,617,453,091.11
  5. Step 5: Solve for x
    x = 9,617,453,091.11/140,447.46
  6. Step 6: Final answer
    x = 68,477.23

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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.