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Finding the Fourth Proportional to 131,570.37, 181,567.10 and 71,141

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Solution

The fourth proportional to 131,570.37, 181,567.10 and 71,141 is: 98,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,570.37 : 181,567.10 = 71,141 : x
  2. Step 2: Convert to fraction form
    131,570.37/181,567.10 = 71,141/x
  3. Step 3: Cross multiply
    131,570.37x = 181,567.10 × 71,141
  4. Step 4: Simplify right side
    131,570.37x = 12,916,865,061.10
  5. Step 5: Solve for x
    x = 12,916,865,061.10/131,570.37
  6. Step 6: Final answer
    x = 98,174.57

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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.