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Finding the Fourth Proportional to 356,715.40, 535,097.40 and 113,537.20

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Solution

The fourth proportional to 356,715.40, 535,097.40 and 113,537.20 is: 170,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,715.40 : 535,097.40 = 113,537.20 : x
  2. Step 2: Convert to fraction form
    356,715.40/535,097.40 = 113,537.20/x
  3. Step 3: Cross multiply
    356,715.40x = 535,097.40 × 113,537.20
  4. Step 4: Simplify right side
    356,715.40x = 60,753,460,523.28
  5. Step 5: Solve for x
    x = 60,753,460,523.28/356,715.40
  6. Step 6: Final answer
    x = 170,313.53

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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.