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Finding the Fourth Proportional to 193,732.60, 290,642.10 and 151,742.20

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Solution

The fourth proportional to 193,732.60, 290,642.10 and 151,742.20 is: 227,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,732.60 : 290,642.10 = 151,742.20 : x
  2. Step 2: Convert to fraction form
    193,732.60/290,642.10 = 151,742.20/x
  3. Step 3: Cross multiply
    193,732.60x = 290,642.10 × 151,742.20
  4. Step 4: Simplify right side
    193,732.60x = 44,102,671,666.62
  5. Step 5: Solve for x
    x = 44,102,671,666.62/193,732.60
  6. Step 6: Final answer
    x = 227,647.14

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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.