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Finding the Fourth Proportional to 257,474.66, 355,297.66 and 148,583.52

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Solution

The fourth proportional to 257,474.66, 355,297.66 and 148,583.52 is: 205,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,474.66 : 355,297.66 = 148,583.52 : x
  2. Step 2: Convert to fraction form
    257,474.66/355,297.66 = 148,583.52/x
  3. Step 3: Cross multiply
    257,474.66x = 355,297.66 × 148,583.52
  4. Step 4: Simplify right side
    257,474.66x = 52,791,376,599.10
  5. Step 5: Solve for x
    x = 52,791,376,599.10/257,474.66
  6. Step 6: Final answer
    x = 205,035.24

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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.