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Finding the Fourth Proportional to 153,904.25, 230,841.25 and 75,072.89

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Solution

The fourth proportional to 153,904.25, 230,841.25 and 75,072.89 is: 112,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,904.25 : 230,841.25 = 75,072.89 : x
  2. Step 2: Convert to fraction form
    153,904.25/230,841.25 = 75,072.89/x
  3. Step 3: Cross multiply
    153,904.25x = 230,841.25 × 75,072.89
  4. Step 4: Simplify right side
    153,904.25x = 17,329,919,768.71
  5. Step 5: Solve for x
    x = 17,329,919,768.71/153,904.25
  6. Step 6: Final answer
    x = 112,601.96

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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.