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Finding the Fourth Proportional to 207,232.30, 310,848.46 and 74,116.90

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Solution

The fourth proportional to 207,232.30, 310,848.46 and 74,116.90 is: 111,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,232.30 : 310,848.46 = 74,116.90 : x
  2. Step 2: Convert to fraction form
    207,232.30/310,848.46 = 74,116.90/x
  3. Step 3: Cross multiply
    207,232.30x = 310,848.46 × 74,116.90
  4. Step 4: Simplify right side
    207,232.30x = 23,039,124,224.97
  5. Step 5: Solve for x
    x = 23,039,124,224.97/207,232.30
  6. Step 6: Final answer
    x = 111,175.35

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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.