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Finding the Fourth Proportional to 242,261.40, 363,780.90 and 163,723.80

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Solution

The fourth proportional to 242,261.40, 363,780.90 and 163,723.80 is: 245,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,261.40 : 363,780.90 = 163,723.80 : x
  2. Step 2: Convert to fraction form
    242,261.40/363,780.90 = 163,723.80/x
  3. Step 3: Cross multiply
    242,261.40x = 363,780.90 × 163,723.80
  4. Step 4: Simplify right side
    242,261.40x = 59,559,591,315.42
  5. Step 5: Solve for x
    x = 59,559,591,315.42/242,261.40
  6. Step 6: Final answer
    x = 245,848.46

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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.