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Finding the Fourth Proportional to 614,627.16, 922,076.13 and 188,166.21

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Solution

The fourth proportional to 614,627.16, 922,076.13 and 188,166.21 is: 282,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,627.16 : 922,076.13 = 188,166.21 : x
  2. Step 2: Convert to fraction form
    614,627.16/922,076.13 = 188,166.21/x
  3. Step 3: Cross multiply
    614,627.16x = 922,076.13 × 188,166.21
  4. Step 4: Simplify right side
    614,627.16x = 173,503,570,713.57
  5. Step 5: Solve for x
    x = 173,503,570,713.57/614,627.16
  6. Step 6: Final answer
    x = 282,290.76

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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.