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Finding the Fourth Proportional to 153,902.60, 230,824.74 and 54,039.32

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Solution

The fourth proportional to 153,902.60, 230,824.74 and 54,039.32 is: 81,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,902.60 : 230,824.74 = 54,039.32 : x
  2. Step 2: Convert to fraction form
    153,902.60/230,824.74 = 54,039.32/x
  3. Step 3: Cross multiply
    153,902.60x = 230,824.74 × 54,039.32
  4. Step 4: Simplify right side
    153,902.60x = 12,473,611,988.78
  5. Step 5: Solve for x
    x = 12,473,611,988.78/153,902.60
  6. Step 6: Final answer
    x = 81,048.74

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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.