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Finding the Fourth Proportional to 117,694.86, 176,486.78 and 42,762.16

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Solution

The fourth proportional to 117,694.86, 176,486.78 and 42,762.16 is: 64,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,694.86 : 176,486.78 = 42,762.16 : x
  2. Step 2: Convert to fraction form
    117,694.86/176,486.78 = 42,762.16/x
  3. Step 3: Cross multiply
    117,694.86x = 176,486.78 × 42,762.16
  4. Step 4: Simplify right side
    117,694.86x = 7,546,955,924.24
  5. Step 5: Solve for x
    x = 7,546,955,924.24/117,694.86
  6. Step 6: Final answer
    x = 64,123.07

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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.