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Finding the Fourth Proportional to 103,626.50, 143,009.80 and 61,184.12

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Solution

The fourth proportional to 103,626.50, 143,009.80 and 61,184.12 is: 84,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,626.50 : 143,009.80 = 61,184.12 : x
  2. Step 2: Convert to fraction form
    103,626.50/143,009.80 = 61,184.12/x
  3. Step 3: Cross multiply
    103,626.50x = 143,009.80 × 61,184.12
  4. Step 4: Simplify right side
    103,626.50x = 8,749,928,764.38
  5. Step 5: Solve for x
    x = 8,749,928,764.38/103,626.50
  6. Step 6: Final answer
    x = 84,437.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.