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Finding the Fourth Proportional to 110,295.12, 152,180.76 and 64,969.56

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Solution

The fourth proportional to 110,295.12, 152,180.76 and 64,969.56 is: 89,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,295.12 : 152,180.76 = 64,969.56 : x
  2. Step 2: Convert to fraction form
    110,295.12/152,180.76 = 64,969.56/x
  3. Step 3: Cross multiply
    110,295.12x = 152,180.76 × 64,969.56
  4. Step 4: Simplify right side
    110,295.12x = 9,887,117,017.67
  5. Step 5: Solve for x
    x = 9,887,117,017.67/110,295.12
  6. Step 6: Final answer
    x = 89,642.38

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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.