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Finding the Fourth Proportional to 106,538.30, 147,017.85 and 61,184.30

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Solution

The fourth proportional to 106,538.30, 147,017.85 and 61,184.30 is: 84,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,538.30 : 147,017.85 = 61,184.30 : x
  2. Step 2: Convert to fraction form
    106,538.30/147,017.85 = 61,184.30/x
  3. Step 3: Cross multiply
    106,538.30x = 147,017.85 × 61,184.30
  4. Step 4: Simplify right side
    106,538.30x = 8,995,184,239.76
  5. Step 5: Solve for x
    x = 8,995,184,239.76/106,538.30
  6. Step 6: Final answer
    x = 84,431.46

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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.