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Finding the Fourth Proportional to 243,014.70, 364,412.70 and 93,205.20

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Solution

The fourth proportional to 243,014.70, 364,412.70 and 93,205.20 is: 139,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,014.70 : 364,412.70 = 93,205.20 : x
  2. Step 2: Convert to fraction form
    243,014.70/364,412.70 = 93,205.20/x
  3. Step 3: Cross multiply
    243,014.70x = 364,412.70 × 93,205.20
  4. Step 4: Simplify right side
    243,014.70x = 33,965,158,586.04
  5. Step 5: Solve for x
    x = 33,965,158,586.04/243,014.70
  6. Step 6: Final answer
    x = 139,765.86

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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.