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Finding the Fourth Proportional to 119,106.44, 164,369.64 and 65,395.28

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Solution

The fourth proportional to 119,106.44, 164,369.64 and 65,395.28 is: 90,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,106.44 : 164,369.64 = 65,395.28 : x
  2. Step 2: Convert to fraction form
    119,106.44/164,369.64 = 65,395.28/x
  3. Step 3: Cross multiply
    119,106.44x = 164,369.64 × 65,395.28
  4. Step 4: Simplify right side
    119,106.44x = 10,748,998,631.30
  5. Step 5: Solve for x
    x = 10,748,998,631.30/119,106.44
  6. Step 6: Final answer
    x = 90,247.00

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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.