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Finding the Fourth Proportional to 146,688.66, 202,414.38 and 83,013.78

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Solution

The fourth proportional to 146,688.66, 202,414.38 and 83,013.78 is: 114,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,688.66 : 202,414.38 = 83,013.78 : x
  2. Step 2: Convert to fraction form
    146,688.66/202,414.38 = 83,013.78/x
  3. Step 3: Cross multiply
    146,688.66x = 202,414.38 × 83,013.78
  4. Step 4: Simplify right side
    146,688.66x = 16,803,182,810.16
  5. Step 5: Solve for x
    x = 16,803,182,810.16/146,688.66
  6. Step 6: Final answer
    x = 114,549.98

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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.