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Finding the Fourth Proportional to 191,874.98, 264,785.36 and 105,837.59

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Solution

The fourth proportional to 191,874.98, 264,785.36 and 105,837.59 is: 146,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,874.98 : 264,785.36 = 105,837.59 : x
  2. Step 2: Convert to fraction form
    191,874.98/264,785.36 = 105,837.59/x
  3. Step 3: Cross multiply
    191,874.98x = 264,785.36 × 105,837.59
  4. Step 4: Simplify right side
    191,874.98x = 28,024,243,013.04
  5. Step 5: Solve for x
    x = 28,024,243,013.04/191,874.98
  6. Step 6: Final answer
    x = 146,054.70

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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.