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Finding the Fourth Proportional to 153,903.25, 230,839.75 and 75,071.89

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Solution

The fourth proportional to 153,903.25, 230,839.75 and 75,071.89 is: 112,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,903.25 : 230,839.75 = 75,071.89 : x
  2. Step 2: Convert to fraction form
    153,903.25/230,839.75 = 75,071.89/x
  3. Step 3: Cross multiply
    153,903.25x = 230,839.75 × 75,071.89
  4. Step 4: Simplify right side
    153,903.25x = 17,329,576,319.63
  5. Step 5: Solve for x
    x = 17,329,576,319.63/153,903.25
  6. Step 6: Final answer
    x = 112,600.46

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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.