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Finding the Fourth Proportional to 233,200.17, 349,809.30 and 73,385.10

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Solution

The fourth proportional to 233,200.17, 349,809.30 and 73,385.10 is: 110,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,200.17 : 349,809.30 = 73,385.10 : x
  2. Step 2: Convert to fraction form
    233,200.17/349,809.30 = 73,385.10/x
  3. Step 3: Cross multiply
    233,200.17x = 349,809.30 × 73,385.10
  4. Step 4: Simplify right side
    233,200.17x = 25,670,790,461.43
  5. Step 5: Solve for x
    x = 25,670,790,461.43/233,200.17
  6. Step 6: Final answer
    x = 110,080.50

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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.