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Finding the Fourth Proportional to 119,160.39, 164,442.47 and 65,446.50

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Solution

The fourth proportional to 119,160.39, 164,442.47 and 65,446.50 is: 90,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,160.39 : 164,442.47 = 65,446.50 : x
  2. Step 2: Convert to fraction form
    119,160.39/164,442.47 = 65,446.50/x
  3. Step 3: Cross multiply
    119,160.39x = 164,442.47 × 65,446.50
  4. Step 4: Simplify right side
    119,160.39x = 10,762,184,112.86
  5. Step 5: Solve for x
    x = 10,762,184,112.86/119,160.39
  6. Step 6: Final answer
    x = 90,316.79

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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.