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Finding the Fourth Proportional to 191,012.68, 286,576.26 and 77,101.84

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Solution

The fourth proportional to 191,012.68, 286,576.26 and 77,101.84 is: 115,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,012.68 : 286,576.26 = 77,101.84 : x
  2. Step 2: Convert to fraction form
    191,012.68/286,576.26 = 77,101.84/x
  3. Step 3: Cross multiply
    191,012.68x = 286,576.26 × 77,101.84
  4. Step 4: Simplify right side
    191,012.68x = 22,095,556,946.32
  5. Step 5: Solve for x
    x = 22,095,556,946.32/191,012.68
  6. Step 6: Final answer
    x = 115,675.86

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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.