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Finding the Fourth Proportional to 238,170.96, 357,264 and 119,777.58

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Solution

The fourth proportional to 238,170.96, 357,264 and 119,777.58 is: 179,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,170.96 : 357,264 = 119,777.58 : x
  2. Step 2: Convert to fraction form
    238,170.96/357,264 = 119,777.58/x
  3. Step 3: Cross multiply
    238,170.96x = 357,264 × 119,777.58
  4. Step 4: Simplify right side
    238,170.96x = 42,792,217,341.12
  5. Step 5: Solve for x
    x = 42,792,217,341.12/238,170.96
  6. Step 6: Final answer
    x = 179,670.17

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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.