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Finding the Fourth Proportional to 107,465.84, 148,301.79 and 59,718.19

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Solution

The fourth proportional to 107,465.84, 148,301.79 and 59,718.19 is: 82,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,465.84 : 148,301.79 = 59,718.19 : x
  2. Step 2: Convert to fraction form
    107,465.84/148,301.79 = 59,718.19/x
  3. Step 3: Cross multiply
    107,465.84x = 148,301.79 × 59,718.19
  4. Step 4: Simplify right side
    107,465.84x = 8,856,314,472.56
  5. Step 5: Solve for x
    x = 8,856,314,472.56/107,465.84
  6. Step 6: Final answer
    x = 82,410.51

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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.