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Finding the Fourth Proportional to 238,492.34, 357,629.23 and 142,473.62

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Solution

The fourth proportional to 238,492.34, 357,629.23 and 142,473.62 is: 213,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,492.34 : 357,629.23 = 142,473.62 : x
  2. Step 2: Convert to fraction form
    238,492.34/357,629.23 = 142,473.62/x
  3. Step 3: Cross multiply
    238,492.34x = 357,629.23 × 142,473.62
  4. Step 4: Simplify right side
    238,492.34x = 50,952,731,015.91
  5. Step 5: Solve for x
    x = 50,952,731,015.91/238,492.34
  6. Step 6: Final answer
    x = 213,645.15

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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.