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Finding the Fourth Proportional to 153,911.49, 230,902.80 and 48,730.46

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Solution

The fourth proportional to 153,911.49, 230,902.80 and 48,730.46 is: 73,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,911.49 : 230,902.80 = 48,730.46 : x
  2. Step 2: Convert to fraction form
    153,911.49/230,902.80 = 48,730.46/x
  3. Step 3: Cross multiply
    153,911.49x = 230,902.80 × 48,730.46
  4. Step 4: Simplify right side
    153,911.49x = 11,251,999,894.97
  5. Step 5: Solve for x
    x = 11,251,999,894.97/153,911.49
  6. Step 6: Final answer
    x = 73,106.95

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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.