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Finding the Fourth Proportional to 201,658.34, 302,300.58 and 89,278.67

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Solution

The fourth proportional to 201,658.34, 302,300.58 and 89,278.67 is: 133,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,658.34 : 302,300.58 = 89,278.67 : x
  2. Step 2: Convert to fraction form
    201,658.34/302,300.58 = 89,278.67/x
  3. Step 3: Cross multiply
    201,658.34x = 302,300.58 × 89,278.67
  4. Step 4: Simplify right side
    201,658.34x = 26,988,993,722.63
  5. Step 5: Solve for x
    x = 26,988,993,722.63/201,658.34
  6. Step 6: Final answer
    x = 133,835.25

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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.