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Finding the Fourth Proportional to 227,677.68, 314,132.28 and 147,108.72

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Solution

The fourth proportional to 227,677.68, 314,132.28 and 147,108.72 is: 202,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,677.68 : 314,132.28 = 147,108.72 : x
  2. Step 2: Convert to fraction form
    227,677.68/314,132.28 = 147,108.72/x
  3. Step 3: Cross multiply
    227,677.68x = 314,132.28 × 147,108.72
  4. Step 4: Simplify right side
    227,677.68x = 46,211,597,621.48
  5. Step 5: Solve for x
    x = 46,211,597,621.48/227,677.68
  6. Step 6: Final answer
    x = 202,969.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.