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Finding the Fourth Proportional to 188,417.14, 260,012.70 and 103,532.38

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Solution

The fourth proportional to 188,417.14, 260,012.70 and 103,532.38 is: 142,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,417.14 : 260,012.70 = 103,532.38 : x
  2. Step 2: Convert to fraction form
    188,417.14/260,012.70 = 103,532.38/x
  3. Step 3: Cross multiply
    188,417.14x = 260,012.70 × 103,532.38
  4. Step 4: Simplify right side
    188,417.14x = 26,919,733,011.19
  5. Step 5: Solve for x
    x = 26,919,733,011.19/188,417.14
  6. Step 6: Final answer
    x = 142,873.06

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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.