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Finding the Fourth Proportional to 194,734.30, 292,210.80 and 82,395.40

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Solution

The fourth proportional to 194,734.30, 292,210.80 and 82,395.40 is: 123,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,734.30 : 292,210.80 = 82,395.40 : x
  2. Step 2: Convert to fraction form
    194,734.30/292,210.80 = 82,395.40/x
  3. Step 3: Cross multiply
    194,734.30x = 292,210.80 × 82,395.40
  4. Step 4: Simplify right side
    194,734.30x = 24,076,825,750.32
  5. Step 5: Solve for x
    x = 24,076,825,750.32/194,734.30
  6. Step 6: Final answer
    x = 123,639.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.