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Finding the Fourth Proportional to 105,902.63, 146,160.92 and 63,465.11

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Solution

The fourth proportional to 105,902.63, 146,160.92 and 63,465.11 is: 87,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,902.63 : 146,160.92 = 63,465.11 : x
  2. Step 2: Convert to fraction form
    105,902.63/146,160.92 = 63,465.11/x
  3. Step 3: Cross multiply
    105,902.63x = 146,160.92 × 63,465.11
  4. Step 4: Simplify right side
    105,902.63x = 9,276,118,865.50
  5. Step 5: Solve for x
    x = 9,276,118,865.50/105,902.63
  6. Step 6: Final answer
    x = 87,591.02

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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.