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Finding the Fourth Proportional to 128,830.68, 177,788.16 and 77,836.32

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Solution

The fourth proportional to 128,830.68, 177,788.16 and 77,836.32 is: 107,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,830.68 : 177,788.16 = 77,836.32 : x
  2. Step 2: Convert to fraction form
    128,830.68/177,788.16 = 77,836.32/x
  3. Step 3: Cross multiply
    128,830.68x = 177,788.16 × 77,836.32
  4. Step 4: Simplify right side
    128,830.68x = 13,838,376,113.97
  5. Step 5: Solve for x
    x = 13,838,376,113.97/128,830.68
  6. Step 6: Final answer
    x = 107,415.22

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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.