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Finding the Fourth Proportional to 227,930.13, 314,543.58 and 127,328.13

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Solution

The fourth proportional to 227,930.13, 314,543.58 and 127,328.13 is: 175,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,930.13 : 314,543.58 = 127,328.13 : x
  2. Step 2: Convert to fraction form
    227,930.13/314,543.58 = 127,328.13/x
  3. Step 3: Cross multiply
    227,930.13x = 314,543.58 × 127,328.13
  4. Step 4: Simplify right side
    227,930.13x = 40,050,245,844.91
  5. Step 5: Solve for x
    x = 40,050,245,844.91/227,930.13
  6. Step 6: Final answer
    x = 175,712.82

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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.