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Finding the Fourth Proportional to 177,573.60, 266,412.24 and 82,784.16

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Solution

The fourth proportional to 177,573.60, 266,412.24 and 82,784.16 is: 124,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,573.60 : 266,412.24 = 82,784.16 : x
  2. Step 2: Convert to fraction form
    177,573.60/266,412.24 = 82,784.16/x
  3. Step 3: Cross multiply
    177,573.60x = 266,412.24 × 82,784.16
  4. Step 4: Simplify right side
    177,573.60x = 22,054,713,502.12
  5. Step 5: Solve for x
    x = 22,054,713,502.12/177,573.60
  6. Step 6: Final answer
    x = 124,200.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.