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Finding the Fourth Proportional to 201,658.08, 302,674.02 and 101,888.52

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Solution

The fourth proportional to 201,658.08, 302,674.02 and 101,888.52 is: 152,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,658.08 : 302,674.02 = 101,888.52 : x
  2. Step 2: Convert to fraction form
    201,658.08/302,674.02 = 101,888.52/x
  3. Step 3: Cross multiply
    201,658.08x = 302,674.02 × 101,888.52
  4. Step 4: Simplify right side
    201,658.08x = 30,839,007,940.25
  5. Step 5: Solve for x
    x = 30,839,007,940.25/201,658.08
  6. Step 6: Final answer
    x = 152,927.21

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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.