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Finding the Fourth Proportional to 131,798.53, 197,758.04 and 71,737.03

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Solution

The fourth proportional to 131,798.53, 197,758.04 and 71,737.03 is: 107,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,798.53 : 197,758.04 = 71,737.03 : x
  2. Step 2: Convert to fraction form
    131,798.53/197,758.04 = 71,737.03/x
  3. Step 3: Cross multiply
    131,798.53x = 197,758.04 × 71,737.03
  4. Step 4: Simplify right side
    131,798.53x = 14,186,574,448.22
  5. Step 5: Solve for x
    x = 14,186,574,448.22/131,798.53
  6. Step 6: Final answer
    x = 107,638.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.