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Finding the Fourth Proportional to 230,642.60, 345,848.70 and 105,842.60

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Solution

The fourth proportional to 230,642.60, 345,848.70 and 105,842.60 is: 158,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,642.60 : 345,848.70 = 105,842.60 : x
  2. Step 2: Convert to fraction form
    230,642.60/345,848.70 = 105,842.60/x
  3. Step 3: Cross multiply
    230,642.60x = 345,848.70 × 105,842.60
  4. Step 4: Simplify right side
    230,642.60x = 36,605,525,614.62
  5. Step 5: Solve for x
    x = 36,605,525,614.62/230,642.60
  6. Step 6: Final answer
    x = 158,711.03

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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.