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Finding the Fourth Proportional to 106,585.70, 147,093.02 and 61,278.34

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Solution

The fourth proportional to 106,585.70, 147,093.02 and 61,278.34 is: 84,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585.70 : 147,093.02 = 61,278.34 : x
  2. Step 2: Convert to fraction form
    106,585.70/147,093.02 = 61,278.34/x
  3. Step 3: Cross multiply
    106,585.70x = 147,093.02 × 61,278.34
  4. Step 4: Simplify right side
    106,585.70x = 9,013,616,091.19
  5. Step 5: Solve for x
    x = 9,013,616,091.19/106,585.70
  6. Step 6: Final answer
    x = 84,566.84

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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.