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Finding the Fourth Proportional to 191,854.16, 264,778.44 and 115,397.84

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Solution

The fourth proportional to 191,854.16, 264,778.44 and 115,397.84 is: 159,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,854.16 : 264,778.44 = 115,397.84 : x
  2. Step 2: Convert to fraction form
    191,854.16/264,778.44 = 115,397.84/x
  3. Step 3: Cross multiply
    191,854.16x = 264,778.44 × 115,397.84
  4. Step 4: Simplify right side
    191,854.16x = 30,554,860,054.57
  5. Step 5: Solve for x
    x = 30,554,860,054.57/191,854.16
  6. Step 6: Final answer
    x = 159,260.87

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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.