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Finding the Fourth Proportional to 194,135.76, 291,088.83 and 75,668.82

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Solution

The fourth proportional to 194,135.76, 291,088.83 and 75,668.82 is: 113,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,135.76 : 291,088.83 = 75,668.82 : x
  2. Step 2: Convert to fraction form
    194,135.76/291,088.83 = 75,668.82/x
  3. Step 3: Cross multiply
    194,135.76x = 291,088.83 × 75,668.82
  4. Step 4: Simplify right side
    194,135.76x = 22,026,348,281.28
  5. Step 5: Solve for x
    x = 22,026,348,281.28/194,135.76
  6. Step 6: Final answer
    x = 113,458.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.