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Finding the Fourth Proportional to 146,356.76, 201,981.66 and 89,760.44

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Solution

The fourth proportional to 146,356.76, 201,981.66 and 89,760.44 is: 123,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,356.76 : 201,981.66 = 89,760.44 : x
  2. Step 2: Convert to fraction form
    146,356.76/201,981.66 = 89,760.44/x
  3. Step 3: Cross multiply
    146,356.76x = 201,981.66 × 89,760.44
  4. Step 4: Simplify right side
    146,356.76x = 18,129,962,673.53
  5. Step 5: Solve for x
    x = 18,129,962,673.53/146,356.76
  6. Step 6: Final answer
    x = 123,875.13

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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.