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Finding the Fourth Proportional to 119,352.64, 164,703.36 and 65,637.64

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Solution

The fourth proportional to 119,352.64, 164,703.36 and 65,637.64 is: 90,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,352.64 : 164,703.36 = 65,637.64 : x
  2. Step 2: Convert to fraction form
    119,352.64/164,703.36 = 65,637.64/x
  3. Step 3: Cross multiply
    119,352.64x = 164,703.36 × 65,637.64
  4. Step 4: Simplify right side
    119,352.64x = 10,810,739,850.47
  5. Step 5: Solve for x
    x = 10,810,739,850.47/119,352.64
  6. Step 6: Final answer
    x = 90,578.14

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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.