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Finding the Fourth Proportional to 144,494.98, 216,688.70 and 49,698.55

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Solution

The fourth proportional to 144,494.98, 216,688.70 and 49,698.55 is: 74,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,494.98 : 216,688.70 = 49,698.55 : x
  2. Step 2: Convert to fraction form
    144,494.98/216,688.70 = 49,698.55/x
  3. Step 3: Cross multiply
    144,494.98x = 216,688.70 × 49,698.55
  4. Step 4: Simplify right side
    144,494.98x = 10,769,114,191.39
  5. Step 5: Solve for x
    x = 10,769,114,191.39/144,494.98
  6. Step 6: Final answer
    x = 74,529.33

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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.