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Finding the Fourth Proportional to 117,814.40, 176,374.38 and 77,759.48

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Solution

The fourth proportional to 117,814.40, 176,374.38 and 77,759.48 is: 116,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,814.40 : 176,374.38 = 77,759.48 : x
  2. Step 2: Convert to fraction form
    117,814.40/176,374.38 = 77,759.48/x
  3. Step 3: Cross multiply
    117,814.40x = 176,374.38 × 77,759.48
  4. Step 4: Simplify right side
    117,814.40x = 13,714,780,074.12
  5. Step 5: Solve for x
    x = 13,714,780,074.12/117,814.40
  6. Step 6: Final answer
    x = 116,410.05

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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.