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Finding the Fourth Proportional to 106,423.85, 146,858.49 and 61,091.93

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Solution

The fourth proportional to 106,423.85, 146,858.49 and 61,091.93 is: 84,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,423.85 : 146,858.49 = 61,091.93 : x
  2. Step 2: Convert to fraction form
    106,423.85/146,858.49 = 61,091.93/x
  3. Step 3: Cross multiply
    106,423.85x = 146,858.49 × 61,091.93
  4. Step 4: Simplify right side
    106,423.85x = 8,971,868,958.13
  5. Step 5: Solve for x
    x = 8,971,868,958.13/106,423.85
  6. Step 6: Final answer
    x = 84,303.18

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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.