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Finding the Fourth Proportional to 119,254.14, 164,570.40 and 65,542.50

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Solution

The fourth proportional to 119,254.14, 164,570.40 and 65,542.50 is: 90,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,254.14 : 164,570.40 = 65,542.50 : x
  2. Step 2: Convert to fraction form
    119,254.14/164,570.40 = 65,542.50/x
  3. Step 3: Cross multiply
    119,254.14x = 164,570.40 × 65,542.50
  4. Step 4: Simplify right side
    119,254.14x = 10,786,355,442
  5. Step 5: Solve for x
    x = 10,786,355,442/119,254.14
  6. Step 6: Final answer
    x = 90,448.48

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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.