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Finding the Fourth Proportional to 107,119.12, 147,824 and 59,372

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Solution

The fourth proportional to 107,119.12, 147,824 and 59,372 is: 81,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,119.12 : 147,824 = 59,372 : x
  2. Step 2: Convert to fraction form
    107,119.12/147,824 = 59,372/x
  3. Step 3: Cross multiply
    107,119.12x = 147,824 × 59,372
  4. Step 4: Simplify right side
    107,119.12x = 8,776,606,528
  5. Step 5: Solve for x
    x = 8,776,606,528/107,119.12
  6. Step 6: Final answer
    x = 81,933.15

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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.