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Finding the Fourth Proportional to 238,483.23, 329,035.09 and 142,955.07

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Solution

The fourth proportional to 238,483.23, 329,035.09 and 142,955.07 is: 197,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,483.23 : 329,035.09 = 142,955.07 : x
  2. Step 2: Convert to fraction form
    238,483.23/329,035.09 = 142,955.07/x
  3. Step 3: Cross multiply
    238,483.23x = 329,035.09 × 142,955.07
  4. Step 4: Simplify right side
    238,483.23x = 47,037,235,503.38
  5. Step 5: Solve for x
    x = 47,037,235,503.38/238,483.23
  6. Step 6: Final answer
    x = 197,234.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.