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Finding the Fourth Proportional to 119,292.52, 164,623.62 and 65,581

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Solution

The fourth proportional to 119,292.52, 164,623.62 and 65,581 is: 90,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,292.52 : 164,623.62 = 65,581 : x
  2. Step 2: Convert to fraction form
    119,292.52/164,623.62 = 65,581/x
  3. Step 3: Cross multiply
    119,292.52x = 164,623.62 × 65,581
  4. Step 4: Simplify right side
    119,292.52x = 10,796,181,623.22
  5. Step 5: Solve for x
    x = 10,796,181,623.22/119,292.52
  6. Step 6: Final answer
    x = 90,501.75

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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.