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Finding the Fourth Proportional to 107,040, 147,682.08 and 61,712.22

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Solution

The fourth proportional to 107,040, 147,682.08 and 61,712.22 is: 85,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,040 : 147,682.08 = 61,712.22 : x
  2. Step 2: Convert to fraction form
    107,040/147,682.08 = 61,712.22/x
  3. Step 3: Cross multiply
    107,040x = 147,682.08 × 61,712.22
  4. Step 4: Simplify right side
    107,040x = 9,113,789,011.02
  5. Step 5: Solve for x
    x = 9,113,789,011.02/107,040
  6. Step 6: Final answer
    x = 85,143.77

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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.