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Finding the Fourth Proportional to 228,064.71, 314,728.52 and 127,462.71

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Solution

The fourth proportional to 228,064.71, 314,728.52 and 127,462.71 is: 175,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,064.71 : 314,728.52 = 127,462.71 : x
  2. Step 2: Convert to fraction form
    228,064.71/314,728.52 = 127,462.71/x
  3. Step 3: Cross multiply
    228,064.71x = 314,728.52 × 127,462.71
  4. Step 4: Simplify right side
    228,064.71x = 40,116,149,436.18
  5. Step 5: Solve for x
    x = 40,116,149,436.18/228,064.71
  6. Step 6: Final answer
    x = 175,898.10

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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.