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Finding the Fourth Proportional to 223,767.36, 308,798.91 and 123,165.36

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Solution

The fourth proportional to 223,767.36, 308,798.91 and 123,165.36 is: 169,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,767.36 : 308,798.91 = 123,165.36 : x
  2. Step 2: Convert to fraction form
    223,767.36/308,798.91 = 123,165.36/x
  3. Step 3: Cross multiply
    223,767.36x = 308,798.91 × 123,165.36
  4. Step 4: Simplify right side
    223,767.36x = 38,033,328,917.76
  5. Step 5: Solve for x
    x = 38,033,328,917.76/223,767.36
  6. Step 6: Final answer
    x = 169,968.17

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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.