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Finding the Fourth Proportional to 141,804.59, 195,694.38 and 78,146.46

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Solution

The fourth proportional to 141,804.59, 195,694.38 and 78,146.46 is: 107,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,804.59 : 195,694.38 = 78,146.46 : x
  2. Step 2: Convert to fraction form
    141,804.59/195,694.38 = 78,146.46/x
  3. Step 3: Cross multiply
    141,804.59x = 195,694.38 × 78,146.46
  4. Step 4: Simplify right side
    141,804.59x = 15,292,823,038.89
  5. Step 5: Solve for x
    x = 15,292,823,038.89/141,804.59
  6. Step 6: Final answer
    x = 107,844.35

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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.