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Finding the Fourth Proportional to 191,809.41, 264,712.75 and 105,785.22

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Solution

The fourth proportional to 191,809.41, 264,712.75 and 105,785.22 is: 145,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,809.41 : 264,712.75 = 105,785.22 : x
  2. Step 2: Convert to fraction form
    191,809.41/264,712.75 = 105,785.22/x
  3. Step 3: Cross multiply
    191,809.41x = 264,712.75 × 105,785.22
  4. Step 4: Simplify right side
    191,809.41x = 28,002,696,962.91
  5. Step 5: Solve for x
    x = 28,002,696,962.91/191,809.41
  6. Step 6: Final answer
    x = 145,992.30

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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.