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Finding the Fourth Proportional to 194,803.20, 292,214.40 and 101,491.20

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Solution

The fourth proportional to 194,803.20, 292,214.40 and 101,491.20 is: 152,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,803.20 : 292,214.40 = 101,491.20 : x
  2. Step 2: Convert to fraction form
    194,803.20/292,214.40 = 101,491.20/x
  3. Step 3: Cross multiply
    194,803.20x = 292,214.40 × 101,491.20
  4. Step 4: Simplify right side
    194,803.20x = 29,657,190,113.28
  5. Step 5: Solve for x
    x = 29,657,190,113.28/194,803.20
  6. Step 6: Final answer
    x = 152,241.80

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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.