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Finding the Fourth Proportional to 292,692.96, 439,041.60 and 82,352.16

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Solution

The fourth proportional to 292,692.96, 439,041.60 and 82,352.16 is: 123,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,692.96 : 439,041.60 = 82,352.16 : x
  2. Step 2: Convert to fraction form
    292,692.96/439,041.60 = 82,352.16/x
  3. Step 3: Cross multiply
    292,692.96x = 439,041.60 × 82,352.16
  4. Step 4: Simplify right side
    292,692.96x = 36,156,024,089.86
  5. Step 5: Solve for x
    x = 36,156,024,089.86/292,692.96
  6. Step 6: Final answer
    x = 123,528.85

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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.