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Finding the Fourth Proportional to 188,516.65, 260,146.40 and 103,633.11

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Solution

The fourth proportional to 188,516.65, 260,146.40 and 103,633.11 is: 143,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,516.65 : 260,146.40 = 103,633.11 : x
  2. Step 2: Convert to fraction form
    188,516.65/260,146.40 = 103,633.11/x
  3. Step 3: Cross multiply
    188,516.65x = 260,146.40 × 103,633.11
  4. Step 4: Simplify right side
    188,516.65x = 26,959,780,487.30
  5. Step 5: Solve for x
    x = 26,959,780,487.30/188,516.65
  6. Step 6: Final answer
    x = 143,010.08

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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.