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Finding the Fourth Proportional to 227,740.94, 314,258.63 and 132,228.98

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Solution

The fourth proportional to 227,740.94, 314,258.63 and 132,228.98 is: 182,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,740.94 : 314,258.63 = 132,228.98 : x
  2. Step 2: Convert to fraction form
    227,740.94/314,258.63 = 132,228.98/x
  3. Step 3: Cross multiply
    227,740.94x = 314,258.63 × 132,228.98
  4. Step 4: Simplify right side
    227,740.94x = 41,554,098,101.10
  5. Step 5: Solve for x
    x = 41,554,098,101.10/227,740.94
  6. Step 6: Final answer
    x = 182,462.13

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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.