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Finding the Fourth Proportional to 188,384.67, 259,966.67 and 102,341.43

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Solution

The fourth proportional to 188,384.67, 259,966.67 and 102,341.43 is: 141,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,384.67 : 259,966.67 = 102,341.43 : x
  2. Step 2: Convert to fraction form
    188,384.67/259,966.67 = 102,341.43/x
  3. Step 3: Cross multiply
    188,384.67x = 259,966.67 × 102,341.43
  4. Step 4: Simplify right side
    188,384.67x = 26,605,360,248.43
  5. Step 5: Solve for x
    x = 26,605,360,248.43/188,384.67
  6. Step 6: Final answer
    x = 141,228.90

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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.