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Finding the Fourth Proportional to 105,842.88, 146,052.54 and 63,400.32

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Solution

The fourth proportional to 105,842.88, 146,052.54 and 63,400.32 is: 87,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,842.88 : 146,052.54 = 63,400.32 : x
  2. Step 2: Convert to fraction form
    105,842.88/146,052.54 = 63,400.32/x
  3. Step 3: Cross multiply
    105,842.88x = 146,052.54 × 63,400.32
  4. Step 4: Simplify right side
    105,842.88x = 9,259,777,772.81
  5. Step 5: Solve for x
    x = 9,259,777,772.81/105,842.88
  6. Step 6: Final answer
    x = 87,486.07

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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.