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Finding the Fourth Proportional to 201,813.93, 302,254.34 and 194,815.53

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Solution

The fourth proportional to 201,813.93, 302,254.34 and 194,815.53 is: 291,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,813.93 : 302,254.34 = 194,815.53 : x
  2. Step 2: Convert to fraction form
    201,813.93/302,254.34 = 194,815.53/x
  3. Step 3: Cross multiply
    201,813.93x = 302,254.34 × 194,815.53
  4. Step 4: Simplify right side
    201,813.93x = 58,883,838,467.82
  5. Step 5: Solve for x
    x = 58,883,838,467.82/201,813.93
  6. Step 6: Final answer
    x = 291,772.91

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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.