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Finding the Fourth Proportional to 176,142.49, 264,243.08 and 57,782.05

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Solution

The fourth proportional to 176,142.49, 264,243.08 and 57,782.05 is: 86,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,142.49 : 264,243.08 = 57,782.05 : x
  2. Step 2: Convert to fraction form
    176,142.49/264,243.08 = 57,782.05/x
  3. Step 3: Cross multiply
    176,142.49x = 264,243.08 × 57,782.05
  4. Step 4: Simplify right side
    176,142.49x = 15,268,506,860.71
  5. Step 5: Solve for x
    x = 15,268,506,860.71/176,142.49
  6. Step 6: Final answer
    x = 86,682.70

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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.