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Finding the Fourth Proportional to 266,322.66, 399,346.29 and 97,799.82

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Solution

The fourth proportional to 266,322.66, 399,346.29 and 97,799.82 is: 146,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,322.66 : 399,346.29 = 97,799.82 : x
  2. Step 2: Convert to fraction form
    266,322.66/399,346.29 = 97,799.82/x
  3. Step 3: Cross multiply
    266,322.66x = 399,346.29 × 97,799.82
  4. Step 4: Simplify right side
    266,322.66x = 39,055,995,279.67
  5. Step 5: Solve for x
    x = 39,055,995,279.67/266,322.66
  6. Step 6: Final answer
    x = 146,649.16

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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.