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Finding the Fourth Proportional to 153,825.80, 230,717.10 and 48,655.40

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Solution

The fourth proportional to 153,825.80, 230,717.10 and 48,655.40 is: 72,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,825.80 : 230,717.10 = 48,655.40 : x
  2. Step 2: Convert to fraction form
    153,825.80/230,717.10 = 48,655.40/x
  3. Step 3: Cross multiply
    153,825.80x = 230,717.10 × 48,655.40
  4. Step 4: Simplify right side
    153,825.80x = 11,225,632,787.34
  5. Step 5: Solve for x
    x = 11,225,632,787.34/153,825.80
  6. Step 6: Final answer
    x = 72,976.27

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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.