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Finding the Fourth Proportional to 119,274.30, 164,602.86 and 65,563.40

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Solution

The fourth proportional to 119,274.30, 164,602.86 and 65,563.40 is: 90,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,274.30 : 164,602.86 = 65,563.40 : x
  2. Step 2: Convert to fraction form
    119,274.30/164,602.86 = 65,563.40/x
  3. Step 3: Cross multiply
    119,274.30x = 164,602.86 × 65,563.40
  4. Step 4: Simplify right side
    119,274.30x = 10,791,923,151.32
  5. Step 5: Solve for x
    x = 10,791,923,151.32/119,274.30
  6. Step 6: Final answer
    x = 90,479.87

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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.