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Finding the Fourth Proportional to 105,298.38, 145,375.56 and 69,548.22

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Solution

The fourth proportional to 105,298.38, 145,375.56 and 69,548.22 is: 96,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,298.38 : 145,375.56 = 69,548.22 : x
  2. Step 2: Convert to fraction form
    105,298.38/145,375.56 = 69,548.22/x
  3. Step 3: Cross multiply
    105,298.38x = 145,375.56 × 69,548.22
  4. Step 4: Simplify right side
    105,298.38x = 10,110,611,429.50
  5. Step 5: Solve for x
    x = 10,110,611,429.50/105,298.38
  6. Step 6: Final answer
    x = 96,018.68

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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.