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Finding the Fourth Proportional to 223,679.88, 308,686.73 and 128,205

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Solution

The fourth proportional to 223,679.88, 308,686.73 and 128,205 is: 176,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,679.88 : 308,686.73 = 128,205 : x
  2. Step 2: Convert to fraction form
    223,679.88/308,686.73 = 128,205/x
  3. Step 3: Cross multiply
    223,679.88x = 308,686.73 × 128,205
  4. Step 4: Simplify right side
    223,679.88x = 39,575,181,578.63
  5. Step 5: Solve for x
    x = 39,575,181,578.63/223,679.88
  6. Step 6: Final answer
    x = 176,927.77

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