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Finding the Fourth Proportional to 119,364.50, 164,724.36 and 65,650.40

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Solution

The fourth proportional to 119,364.50, 164,724.36 and 65,650.40 is: 90,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,364.50 : 164,724.36 = 65,650.40 : x
  2. Step 2: Convert to fraction form
    119,364.50/164,724.36 = 65,650.40/x
  3. Step 3: Cross multiply
    119,364.50x = 164,724.36 × 65,650.40
  4. Step 4: Simplify right side
    119,364.50x = 10,814,220,123.74
  5. Step 5: Solve for x
    x = 10,814,220,123.74/119,364.50
  6. Step 6: Final answer
    x = 90,598.29

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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.