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Finding the Fourth Proportional to 105,289.38, 145,306.36 and 59,360.34

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Solution

The fourth proportional to 105,289.38, 145,306.36 and 59,360.34 is: 81,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,289.38 : 145,306.36 = 59,360.34 : x
  2. Step 2: Convert to fraction form
    105,289.38/145,306.36 = 59,360.34/x
  3. Step 3: Cross multiply
    105,289.38x = 145,306.36 × 59,360.34
  4. Step 4: Simplify right side
    105,289.38x = 8,625,434,933.76
  5. Step 5: Solve for x
    x = 8,625,434,933.76/105,289.38
  6. Step 6: Final answer
    x = 81,921.22

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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.