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Finding the Fourth Proportional to 147,776.25, 203,932.52 and 84,118.14

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Solution

The fourth proportional to 147,776.25, 203,932.52 and 84,118.14 is: 116,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,776.25 : 203,932.52 = 84,118.14 : x
  2. Step 2: Convert to fraction form
    147,776.25/203,932.52 = 84,118.14/x
  3. Step 3: Cross multiply
    147,776.25x = 203,932.52 × 84,118.14
  4. Step 4: Simplify right side
    147,776.25x = 17,154,424,267.91
  5. Step 5: Solve for x
    x = 17,154,424,267.91/147,776.25
  6. Step 6: Final answer
    x = 116,083.77

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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.