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Finding the Fourth Proportional to 106,518.69, 147,000.56 and 61,211.34

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Solution

The fourth proportional to 106,518.69, 147,000.56 and 61,211.34 is: 84,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,518.69 : 147,000.56 = 61,211.34 : x
  2. Step 2: Convert to fraction form
    106,518.69/147,000.56 = 61,211.34/x
  3. Step 3: Cross multiply
    106,518.69x = 147,000.56 × 61,211.34
  4. Step 4: Simplify right side
    106,518.69x = 8,998,100,952.29
  5. Step 5: Solve for x
    x = 8,998,100,952.29/106,518.69
  6. Step 6: Final answer
    x = 84,474.39

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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.