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Finding the Fourth Proportional to 302,537.40, 453,114.90 and 178,121.40

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Solution

The fourth proportional to 302,537.40, 453,114.90 and 178,121.40 is: 266,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,537.40 : 453,114.90 = 178,121.40 : x
  2. Step 2: Convert to fraction form
    302,537.40/453,114.90 = 178,121.40/x
  3. Step 3: Cross multiply
    302,537.40x = 453,114.90 × 178,121.40
  4. Step 4: Simplify right side
    302,537.40x = 80,709,460,348.86
  5. Step 5: Solve for x
    x = 80,709,460,348.86/302,537.40
  6. Step 6: Final answer
    x = 266,775.15

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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.