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Finding the Fourth Proportional to 107,727.49, 148,639.12 and 65,277.01

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Solution

The fourth proportional to 107,727.49, 148,639.12 and 65,277.01 is: 90,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,727.49 : 148,639.12 = 65,277.01 : x
  2. Step 2: Convert to fraction form
    107,727.49/148,639.12 = 65,277.01/x
  3. Step 3: Cross multiply
    107,727.49x = 148,639.12 × 65,277.01
  4. Step 4: Simplify right side
    107,727.49x = 9,702,717,322.63
  5. Step 5: Solve for x
    x = 9,702,717,322.63/107,727.49
  6. Step 6: Final answer
    x = 90,067.24

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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.