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Finding the Fourth Proportional to 119,352.94, 164,703.76 and 65,637.95

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Solution

The fourth proportional to 119,352.94, 164,703.76 and 65,637.95 is: 90,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,352.94 : 164,703.76 = 65,637.95 : x
  2. Step 2: Convert to fraction form
    119,352.94/164,703.76 = 65,637.95/x
  3. Step 3: Cross multiply
    119,352.94x = 164,703.76 × 65,637.95
  4. Step 4: Simplify right side
    119,352.94x = 10,810,817,163.69
  5. Step 5: Solve for x
    x = 10,810,817,163.69/119,352.94
  6. Step 6: Final answer
    x = 90,578.56

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Why These Related Problems?

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