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Finding the Fourth Proportional to 223,603.84, 308,578.08 and 123,001.84

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Solution

The fourth proportional to 223,603.84, 308,578.08 and 123,001.84 is: 169,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,603.84 : 308,578.08 = 123,001.84 : x
  2. Step 2: Convert to fraction form
    223,603.84/308,578.08 = 123,001.84/x
  3. Step 3: Cross multiply
    223,603.84x = 308,578.08 × 123,001.84
  4. Step 4: Simplify right side
    223,603.84x = 37,955,671,623.67
  5. Step 5: Solve for x
    x = 37,955,671,623.67/223,603.84
  6. Step 6: Final answer
    x = 169,745.17

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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.