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Finding the Fourth Proportional to 238,068, 357,202.13 and 148,185.86

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Solution

The fourth proportional to 238,068, 357,202.13 and 148,185.86 is: 222,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,068 : 357,202.13 = 148,185.86 : x
  2. Step 2: Convert to fraction form
    238,068/357,202.13 = 148,185.86/x
  3. Step 3: Cross multiply
    238,068x = 357,202.13 × 148,185.86
  4. Step 4: Simplify right side
    238,068x = 52,932,302,300.94
  5. Step 5: Solve for x
    x = 52,932,302,300.94/238,068
  6. Step 6: Final answer
    x = 222,341.11

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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.