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Finding the Fourth Proportional to 242,692.40, 363,973.80 and 74,212.40

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Solution

The fourth proportional to 242,692.40, 363,973.80 and 74,212.40 is: 111,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,692.40 : 363,973.80 = 74,212.40 : x
  2. Step 2: Convert to fraction form
    242,692.40/363,973.80 = 74,212.40/x
  3. Step 3: Cross multiply
    242,692.40x = 363,973.80 × 74,212.40
  4. Step 4: Simplify right side
    242,692.40x = 27,011,369,235.12
  5. Step 5: Solve for x
    x = 27,011,369,235.12/242,692.40
  6. Step 6: Final answer
    x = 111,298.78

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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.