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Finding the Fourth Proportional to 227,632.14, 314,146.89 and 127,030.14

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Solution

The fourth proportional to 227,632.14, 314,146.89 and 127,030.14 is: 175,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,632.14 : 314,146.89 = 127,030.14 : x
  2. Step 2: Convert to fraction form
    227,632.14/314,146.89 = 127,030.14/x
  3. Step 3: Cross multiply
    227,632.14x = 314,146.89 × 127,030.14
  4. Step 4: Simplify right side
    227,632.14x = 39,906,123,417.26
  5. Step 5: Solve for x
    x = 39,906,123,417.26/227,632.14
  6. Step 6: Final answer
    x = 175,309.71

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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.