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Finding the Fourth Proportional to 110,330, 152,258.64 and 60,032.24

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Solution

The fourth proportional to 110,330, 152,258.64 and 60,032.24 is: 82,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,330 : 152,258.64 = 60,032.24 : x
  2. Step 2: Convert to fraction form
    110,330/152,258.64 = 60,032.24/x
  3. Step 3: Cross multiply
    110,330x = 152,258.64 × 60,032.24
  4. Step 4: Simplify right side
    110,330x = 9,140,427,218.55
  5. Step 5: Solve for x
    x = 9,140,427,218.55/110,330
  6. Step 6: Final answer
    x = 82,846.25

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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.