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Finding the Fourth Proportional to 119,303.91, 164,639.79 and 65,589.84

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Solution

The fourth proportional to 119,303.91, 164,639.79 and 65,589.84 is: 90,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,303.91 : 164,639.79 = 65,589.84 : x
  2. Step 2: Convert to fraction form
    119,303.91/164,639.79 = 65,589.84/x
  3. Step 3: Cross multiply
    119,303.91x = 164,639.79 × 65,589.84
  4. Step 4: Simplify right side
    119,303.91x = 10,798,697,483.73
  5. Step 5: Solve for x
    x = 10,798,697,483.73/119,303.91
  6. Step 6: Final answer
    x = 90,514.20

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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.