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Finding the Fourth Proportional to 162,180.77, 243,294.43 and 49,870.43

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Solution

The fourth proportional to 162,180.77, 243,294.43 and 49,870.43 is: 74,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,180.77 : 243,294.43 = 49,870.43 : x
  2. Step 2: Convert to fraction form
    162,180.77/243,294.43 = 49,870.43/x
  3. Step 3: Cross multiply
    162,180.77x = 243,294.43 × 49,870.43
  4. Step 4: Simplify right side
    162,180.77x = 12,133,197,840.70
  5. Step 5: Solve for x
    x = 12,133,197,840.70/162,180.77
  6. Step 6: Final answer
    x = 74,812.80

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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.