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Finding the Fourth Proportional to 227,551.68, 314,020.80 and 132,114.24

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Solution

The fourth proportional to 227,551.68, 314,020.80 and 132,114.24 is: 182,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,551.68 : 314,020.80 = 132,114.24 : x
  2. Step 2: Convert to fraction form
    227,551.68/314,020.80 = 132,114.24/x
  3. Step 3: Cross multiply
    227,551.68x = 314,020.80 × 132,114.24
  4. Step 4: Simplify right side
    227,551.68x = 41,486,619,336.19
  5. Step 5: Solve for x
    x = 41,486,619,336.19/227,551.68
  6. Step 6: Final answer
    x = 182,317.35

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1.5x scale

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.