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Finding the Fourth Proportional to 228,116.47, 314,696.10 and 147,569.97

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Solution

The fourth proportional to 228,116.47, 314,696.10 and 147,569.97 is: 203,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,116.47 : 314,696.10 = 147,569.97 : x
  2. Step 2: Convert to fraction form
    228,116.47/314,696.10 = 147,569.97/x
  3. Step 3: Cross multiply
    228,116.47x = 314,696.10 × 147,569.97
  4. Step 4: Simplify right side
    228,116.47x = 46,439,694,036.12
  5. Step 5: Solve for x
    x = 46,439,694,036.12/228,116.47
  6. Step 6: Final answer
    x = 203,578.87

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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.