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Finding the Fourth Proportional to 141,071.67, 194,678.37 and 77,410.53

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Solution

The fourth proportional to 141,071.67, 194,678.37 and 77,410.53 is: 106,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,071.67 : 194,678.37 = 77,410.53 : x
  2. Step 2: Convert to fraction form
    141,071.67/194,678.37 = 77,410.53/x
  3. Step 3: Cross multiply
    141,071.67x = 194,678.37 × 77,410.53
  4. Step 4: Simplify right side
    141,071.67x = 15,070,155,801.24
  5. Step 5: Solve for x
    x = 15,070,155,801.24/141,071.67
  6. Step 6: Final answer
    x = 106,826.24

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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.