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Finding the Fourth Proportional to 191,705.76, 264,543.76 and 106,814.56

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Solution

The fourth proportional to 191,705.76, 264,543.76 and 106,814.56 is: 147,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,705.76 : 264,543.76 = 106,814.56 : x
  2. Step 2: Convert to fraction form
    191,705.76/264,543.76 = 106,814.56/x
  3. Step 3: Cross multiply
    191,705.76x = 264,543.76 × 106,814.56
  4. Step 4: Simplify right side
    191,705.76x = 28,257,125,325.15
  5. Step 5: Solve for x
    x = 28,257,125,325.15/191,705.76
  6. Step 6: Final answer
    x = 147,398.42

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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.