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Finding the Fourth Proportional to 128,640.80, 177,533.72 and 77,666.08

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Solution

The fourth proportional to 128,640.80, 177,533.72 and 77,666.08 is: 107,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,640.80 : 177,533.72 = 77,666.08 : x
  2. Step 2: Convert to fraction form
    128,640.80/177,533.72 = 77,666.08/x
  3. Step 3: Cross multiply
    128,640.80x = 177,533.72 × 77,666.08
  4. Step 4: Simplify right side
    128,640.80x = 13,788,348,100.22
  5. Step 5: Solve for x
    x = 13,788,348,100.22/128,640.80
  6. Step 6: Final answer
    x = 107,184.88

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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.