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Finding the Fourth Proportional to 119,565.16, 164,993.54 and 65,848.36

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Solution

The fourth proportional to 119,565.16, 164,993.54 and 65,848.36 is: 90,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,565.16 : 164,993.54 = 65,848.36 : x
  2. Step 2: Convert to fraction form
    119,565.16/164,993.54 = 65,848.36/x
  3. Step 3: Cross multiply
    119,565.16x = 164,993.54 × 65,848.36
  4. Step 4: Simplify right side
    119,565.16x = 10,864,554,019.59
  5. Step 5: Solve for x
    x = 10,864,554,019.59/119,565.16
  6. Step 6: Final answer
    x = 90,867.22

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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.