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Finding the Fourth Proportional to 154,503.16, 231,904.60 and 74,597.48

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Solution

The fourth proportional to 154,503.16, 231,904.60 and 74,597.48 is: 111,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,503.16 : 231,904.60 = 74,597.48 : x
  2. Step 2: Convert to fraction form
    154,503.16/231,904.60 = 74,597.48/x
  3. Step 3: Cross multiply
    154,503.16x = 231,904.60 × 74,597.48
  4. Step 4: Simplify right side
    154,503.16x = 17,299,498,760.41
  5. Step 5: Solve for x
    x = 17,299,498,760.41/154,503.16
  6. Step 6: Final answer
    x = 111,968.58

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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.