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Finding the Fourth Proportional to 223,643.99, 308,621.66 and 121,666.83

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Solution

The fourth proportional to 223,643.99, 308,621.66 and 121,666.83 is: 167,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,643.99 : 308,621.66 = 121,666.83 : x
  2. Step 2: Convert to fraction form
    223,643.99/308,621.66 = 121,666.83/x
  3. Step 3: Cross multiply
    223,643.99x = 308,621.66 × 121,666.83
  4. Step 4: Simplify right side
    223,643.99x = 37,549,018,433.20
  5. Step 5: Solve for x
    x = 37,549,018,433.20/223,643.99
  6. Step 6: Final answer
    x = 167,896.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.