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Finding the Fourth Proportional to 106,254.30, 146,631.36 and 63,813.54

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Solution

The fourth proportional to 106,254.30, 146,631.36 and 63,813.54 is: 88,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,254.30 : 146,631.36 = 63,813.54 : x
  2. Step 2: Convert to fraction form
    106,254.30/146,631.36 = 63,813.54/x
  3. Step 3: Cross multiply
    106,254.30x = 146,631.36 × 63,813.54
  4. Step 4: Simplify right side
    106,254.30x = 9,357,066,156.61
  5. Step 5: Solve for x
    x = 9,357,066,156.61/106,254.30
  6. Step 6: Final answer
    x = 88,062.94

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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.