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Finding the Fourth Proportional to 242,302.40, 363,842.40 and 163,764.80

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Solution

The fourth proportional to 242,302.40, 363,842.40 and 163,764.80 is: 245,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,302.40 : 363,842.40 = 163,764.80 : x
  2. Step 2: Convert to fraction form
    242,302.40/363,842.40 = 163,764.80/x
  3. Step 3: Cross multiply
    242,302.40x = 363,842.40 × 163,764.80
  4. Step 4: Simplify right side
    242,302.40x = 59,584,577,867.52
  5. Step 5: Solve for x
    x = 59,584,577,867.52/242,302.40
  6. Step 6: Final answer
    x = 245,909.98

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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.