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Finding the Fourth Proportional to 266,100.36, 399,150.54 and 97,557

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Solution

The fourth proportional to 266,100.36, 399,150.54 and 97,557 is: 146,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,100.36 : 399,150.54 = 97,557 : x
  2. Step 2: Convert to fraction form
    266,100.36/399,150.54 = 97,557/x
  3. Step 3: Cross multiply
    266,100.36x = 399,150.54 × 97,557
  4. Step 4: Simplify right side
    266,100.36x = 38,939,929,230.78
  5. Step 5: Solve for x
    x = 38,939,929,230.78/266,100.36
  6. Step 6: Final answer
    x = 146,335.50

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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.