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Finding the Fourth Proportional to 134,384.15, 185,451.53 and 77,022.24

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Solution

The fourth proportional to 134,384.15, 185,451.53 and 77,022.24 is: 106,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,384.15 : 185,451.53 = 77,022.24 : x
  2. Step 2: Convert to fraction form
    134,384.15/185,451.53 = 77,022.24/x
  3. Step 3: Cross multiply
    134,384.15x = 185,451.53 × 77,022.24
  4. Step 4: Simplify right side
    134,384.15x = 14,283,892,252.03
  5. Step 5: Solve for x
    x = 14,283,892,252.03/134,384.15
  6. Step 6: Final answer
    x = 106,291.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.