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Finding the Fourth Proportional to 202,692.32, 304,039.20 and 119,528

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Solution

The fourth proportional to 202,692.32, 304,039.20 and 119,528 is: 179,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,692.32 : 304,039.20 = 119,528 : x
  2. Step 2: Convert to fraction form
    202,692.32/304,039.20 = 119,528/x
  3. Step 3: Cross multiply
    202,692.32x = 304,039.20 × 119,528
  4. Step 4: Simplify right side
    202,692.32x = 36,341,197,497.60
  5. Step 5: Solve for x
    x = 36,341,197,497.60/202,692.32
  6. Step 6: Final answer
    x = 179,292.42

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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.