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Finding the Fourth Proportional to 106,997.34, 147,656.08 and 61,675.02

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Solution

The fourth proportional to 106,997.34, 147,656.08 and 61,675.02 is: 85,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.34 : 147,656.08 = 61,675.02 : x
  2. Step 2: Convert to fraction form
    106,997.34/147,656.08 = 61,675.02/x
  3. Step 3: Cross multiply
    106,997.34x = 147,656.08 × 61,675.02
  4. Step 4: Simplify right side
    106,997.34x = 9,106,691,687.12
  5. Step 5: Solve for x
    x = 9,106,691,687.12/106,997.34
  6. Step 6: Final answer
    x = 85,111.38

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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.