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Finding the Fourth Proportional to 176,012.50, 264,018.75 and 57,692.16

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Solution

The fourth proportional to 176,012.50, 264,018.75 and 57,692.16 is: 86,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,012.50 : 264,018.75 = 57,692.16 : x
  2. Step 2: Convert to fraction form
    176,012.50/264,018.75 = 57,692.16/x
  3. Step 3: Cross multiply
    176,012.50x = 264,018.75 × 57,692.16
  4. Step 4: Simplify right side
    176,012.50x = 15,231,811,968
  5. Step 5: Solve for x
    x = 15,231,811,968/176,012.50
  6. Step 6: Final answer
    x = 86,538.24

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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.