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Finding the Fourth Proportional to 131,577, 181,580.58 and 71,961

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Solution

The fourth proportional to 131,577, 181,580.58 and 71,961 is: 99,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,577 : 181,580.58 = 71,961 : x
  2. Step 2: Convert to fraction form
    131,577/181,580.58 = 71,961/x
  3. Step 3: Cross multiply
    131,577x = 181,580.58 × 71,961
  4. Step 4: Simplify right side
    131,577x = 13,066,720,117.38
  5. Step 5: Solve for x
    x = 13,066,720,117.38/131,577
  6. Step 6: Final answer
    x = 99,308.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.