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Finding the Fourth Proportional to 191,501.96, 264,319.25 and 110,916.47

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Solution

The fourth proportional to 191,501.96, 264,319.25 and 110,916.47 is: 153,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,501.96 : 264,319.25 = 110,916.47 : x
  2. Step 2: Convert to fraction form
    191,501.96/264,319.25 = 110,916.47/x
  3. Step 3: Cross multiply
    191,501.96x = 264,319.25 × 110,916.47
  4. Step 4: Simplify right side
    191,501.96x = 29,317,356,286.87
  5. Step 5: Solve for x
    x = 29,317,356,286.87/191,501.96
  6. Step 6: Final answer
    x = 153,091.68

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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.