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Finding the Fourth Proportional to 191,614.98, 264,436.83 and 106,732.08

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Solution

The fourth proportional to 191,614.98, 264,436.83 and 106,732.08 is: 147,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,614.98 : 264,436.83 = 106,732.08 : x
  2. Step 2: Convert to fraction form
    191,614.98/264,436.83 = 106,732.08/x
  3. Step 3: Cross multiply
    191,614.98x = 264,436.83 × 106,732.08
  4. Step 4: Simplify right side
    191,614.98x = 28,223,892,894.51
  5. Step 5: Solve for x
    x = 28,223,892,894.51/191,614.98
  6. Step 6: Final answer
    x = 147,294.81

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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.