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Finding the Fourth Proportional to 225,773.86, 338,662.84 and 97,666.24

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Solution

The fourth proportional to 225,773.86, 338,662.84 and 97,666.24 is: 146,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,773.86 : 338,662.84 = 97,666.24 : x
  2. Step 2: Convert to fraction form
    225,773.86/338,662.84 = 97,666.24/x
  3. Step 3: Cross multiply
    225,773.86x = 338,662.84 × 97,666.24
  4. Step 4: Simplify right side
    225,773.86x = 33,075,926,210.52
  5. Step 5: Solve for x
    x = 33,075,926,210.52/225,773.86
  6. Step 6: Final answer
    x = 146,500.25

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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.