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Finding the Fourth Proportional to 106,323.79, 146,748.08 and 61,032.39

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Solution

The fourth proportional to 106,323.79, 146,748.08 and 61,032.39 is: 84,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,323.79 : 146,748.08 = 61,032.39 : x
  2. Step 2: Convert to fraction form
    106,323.79/146,748.08 = 61,032.39/x
  3. Step 3: Cross multiply
    106,323.79x = 146,748.08 × 61,032.39
  4. Step 4: Simplify right side
    106,323.79x = 8,956,385,480.93
  5. Step 5: Solve for x
    x = 8,956,385,480.93/106,323.79
  6. Step 6: Final answer
    x = 84,236.89

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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.