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Finding the Fourth Proportional to 191,471.16, 264,058.16 and 119,857.70

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Solution

The fourth proportional to 191,471.16, 264,058.16 and 119,857.70 is: 165,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,471.16 : 264,058.16 = 119,857.70 : x
  2. Step 2: Convert to fraction form
    191,471.16/264,058.16 = 119,857.70/x
  3. Step 3: Cross multiply
    191,471.16x = 264,058.16 × 119,857.70
  4. Step 4: Simplify right side
    191,471.16x = 31,649,403,723.83
  5. Step 5: Solve for x
    x = 31,649,403,723.83/191,471.16
  6. Step 6: Final answer
    x = 165,295.93

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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.