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Finding the Fourth Proportional to 206,696.04, 310,076.55 and 88,368

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Solution

The fourth proportional to 206,696.04, 310,076.55 and 88,368 is: 132,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,696.04 : 310,076.55 = 88,368 : x
  2. Step 2: Convert to fraction form
    206,696.04/310,076.55 = 88,368/x
  3. Step 3: Cross multiply
    206,696.04x = 310,076.55 × 88,368
  4. Step 4: Simplify right side
    206,696.04x = 27,400,844,570.40
  5. Step 5: Solve for x
    x = 27,400,844,570.40/206,696.04
  6. Step 6: Final answer
    x = 132,565.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.