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Finding the Fourth Proportional to 153,510.39, 230,286.54 and 53,647.41

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Solution

The fourth proportional to 153,510.39, 230,286.54 and 53,647.41 is: 80,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,510.39 : 230,286.54 = 53,647.41 : x
  2. Step 2: Convert to fraction form
    153,510.39/230,286.54 = 53,647.41/x
  3. Step 3: Cross multiply
    153,510.39x = 230,286.54 × 53,647.41
  4. Step 4: Simplify right side
    153,510.39x = 12,354,277,493.61
  5. Step 5: Solve for x
    x = 12,354,277,493.61/153,510.39
  6. Step 6: Final answer
    x = 80,478.45

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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.