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Finding the Fourth Proportional to 119,186.64, 164,480.04 and 65,475

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Solution

The fourth proportional to 119,186.64, 164,480.04 and 65,475 is: 90,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,186.64 : 164,480.04 = 65,475 : x
  2. Step 2: Convert to fraction form
    119,186.64/164,480.04 = 65,475/x
  3. Step 3: Cross multiply
    119,186.64x = 164,480.04 × 65,475
  4. Step 4: Simplify right side
    119,186.64x = 10,769,330,619
  5. Step 5: Solve for x
    x = 10,769,330,619/119,186.64
  6. Step 6: Final answer
    x = 90,356.86

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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.