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Finding the Fourth Proportional to 106,824.79, 147,401.84 and 61,494.02

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Solution

The fourth proportional to 106,824.79, 147,401.84 and 61,494.02 is: 84,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,824.79 : 147,401.84 = 61,494.02 : x
  2. Step 2: Convert to fraction form
    106,824.79/147,401.84 = 61,494.02/x
  3. Step 3: Cross multiply
    106,824.79x = 147,401.84 × 61,494.02
  4. Step 4: Simplify right side
    106,824.79x = 9,064,330,729.39
  5. Step 5: Solve for x
    x = 9,064,330,729.39/106,824.79
  6. Step 6: Final answer
    x = 84,852.31

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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.