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Finding the Fourth Proportional to 117,342.56, 161,890.30 and 77,078

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Solution

The fourth proportional to 117,342.56, 161,890.30 and 77,078 is: 106,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,342.56 : 161,890.30 = 77,078 : x
  2. Step 2: Convert to fraction form
    117,342.56/161,890.30 = 77,078/x
  3. Step 3: Cross multiply
    117,342.56x = 161,890.30 × 77,078
  4. Step 4: Simplify right side
    117,342.56x = 12,478,180,543.40
  5. Step 5: Solve for x
    x = 12,478,180,543.40/117,342.56
  6. Step 6: Final answer
    x = 106,339.77

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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.