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Finding the Fourth Proportional to 191,071.68, 263,678.16 and 105,036.44

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Solution

The fourth proportional to 191,071.68, 263,678.16 and 105,036.44 is: 144,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,071.68 : 263,678.16 = 105,036.44 : x
  2. Step 2: Convert to fraction form
    191,071.68/263,678.16 = 105,036.44/x
  3. Step 3: Cross multiply
    191,071.68x = 263,678.16 × 105,036.44
  4. Step 4: Simplify right side
    191,071.68x = 27,695,815,232.15
  5. Step 5: Solve for x
    x = 27,695,815,232.15/191,071.68
  6. Step 6: Final answer
    x = 144,949.87

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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.