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Finding the Fourth Proportional to 119,438.80, 178,985.40 and 52,824.40

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Solution

The fourth proportional to 119,438.80, 178,985.40 and 52,824.40 is: 79,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,438.80 : 178,985.40 = 52,824.40 : x
  2. Step 2: Convert to fraction form
    119,438.80/178,985.40 = 52,824.40/x
  3. Step 3: Cross multiply
    119,438.80x = 178,985.40 × 52,824.40
  4. Step 4: Simplify right side
    119,438.80x = 9,454,796,363.76
  5. Step 5: Solve for x
    x = 9,454,796,363.76/119,438.80
  6. Step 6: Final answer
    x = 79,160.18

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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.