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Finding the Fourth Proportional to 119,395.64, 164,710.74 and 71,565.98

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Solution

The fourth proportional to 119,395.64, 164,710.74 and 71,565.98 is: 98,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,395.64 : 164,710.74 = 71,565.98 : x
  2. Step 2: Convert to fraction form
    119,395.64/164,710.74 = 71,565.98/x
  3. Step 3: Cross multiply
    119,395.64x = 164,710.74 × 71,565.98
  4. Step 4: Simplify right side
    119,395.64x = 11,787,685,524.63
  5. Step 5: Solve for x
    x = 11,787,685,524.63/119,395.64
  6. Step 6: Final answer
    x = 98,727.94

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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.