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Finding the Fourth Proportional to 106,764, 147,333.24 and 59,015.04

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Solution

The fourth proportional to 106,764, 147,333.24 and 59,015.04 is: 81,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,764 : 147,333.24 = 59,015.04 : x
  2. Step 2: Convert to fraction form
    106,764/147,333.24 = 59,015.04/x
  3. Step 3: Cross multiply
    106,764x = 147,333.24 × 59,015.04
  4. Step 4: Simplify right side
    106,764x = 8,694,877,051.93
  5. Step 5: Solve for x
    x = 8,694,877,051.93/106,764
  6. Step 6: Final answer
    x = 81,440.16

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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.