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Finding the Fourth Proportional to 147,073.58, 202,957.60 and 83,410.01

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Solution

The fourth proportional to 147,073.58, 202,957.60 and 83,410.01 is: 115,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,073.58 : 202,957.60 = 83,410.01 : x
  2. Step 2: Convert to fraction form
    147,073.58/202,957.60 = 83,410.01/x
  3. Step 3: Cross multiply
    147,073.58x = 202,957.60 × 83,410.01
  4. Step 4: Simplify right side
    147,073.58x = 16,928,695,028.53
  5. Step 5: Solve for x
    x = 16,928,695,028.53/147,073.58
  6. Step 6: Final answer
    x = 115,103.58

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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.