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Finding the Fourth Proportional to 119,027.84, 164,263.04 and 65,315.04

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Solution

The fourth proportional to 119,027.84, 164,263.04 and 65,315.04 is: 90,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,027.84 : 164,263.04 = 65,315.04 : x
  2. Step 2: Convert to fraction form
    119,027.84/164,263.04 = 65,315.04/x
  3. Step 3: Cross multiply
    119,027.84x = 164,263.04 × 65,315.04
  4. Step 4: Simplify right side
    119,027.84x = 10,728,847,028.12
  5. Step 5: Solve for x
    x = 10,728,847,028.12/119,027.84
  6. Step 6: Final answer
    x = 90,137.29

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1.5x scale

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.