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Finding the Fourth Proportional to 128,357.28, 177,058.80 and 77,335.20

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Solution

The fourth proportional to 128,357.28, 177,058.80 and 77,335.20 is: 106,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,357.28 : 177,058.80 = 77,335.20 : x
  2. Step 2: Convert to fraction form
    128,357.28/177,058.80 = 77,335.20/x
  3. Step 3: Cross multiply
    128,357.28x = 177,058.80 × 77,335.20
  4. Step 4: Simplify right side
    128,357.28x = 13,692,877,709.76
  5. Step 5: Solve for x
    x = 13,692,877,709.76/128,357.28
  6. Step 6: Final answer
    x = 106,677.84

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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.