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Finding the Fourth Proportional to 103,955.51, 156,196.02 and 99,751.75

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Solution

The fourth proportional to 103,955.51, 156,196.02 and 99,751.75 is: 149,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,955.51 : 156,196.02 = 99,751.75 : x
  2. Step 2: Convert to fraction form
    103,955.51/156,196.02 = 99,751.75/x
  3. Step 3: Cross multiply
    103,955.51x = 156,196.02 × 99,751.75
  4. Step 4: Simplify right side
    103,955.51x = 15,580,826,338.04
  5. Step 5: Solve for x
    x = 15,580,826,338.04/103,955.51
  6. Step 6: Final answer
    x = 149,879.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.