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Finding the Fourth Proportional to 117,814.40, 176,374.40 and 77,759.50

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Solution

The fourth proportional to 117,814.40, 176,374.40 and 77,759.50 is: 116,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,814.40 : 176,374.40 = 77,759.50 : x
  2. Step 2: Convert to fraction form
    117,814.40/176,374.40 = 77,759.50/x
  3. Step 3: Cross multiply
    117,814.40x = 176,374.40 × 77,759.50
  4. Step 4: Simplify right side
    117,814.40x = 13,714,785,156.80
  5. Step 5: Solve for x
    x = 13,714,785,156.80/117,814.40
  6. Step 6: Final answer
    x = 116,410.09

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