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Finding the Fourth Proportional to 238,216.34, 357,384.46 and 105,133.34

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Solution

The fourth proportional to 238,216.34, 357,384.46 and 105,133.34 is: 157,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,216.34 : 357,384.46 = 105,133.34 : x
  2. Step 2: Convert to fraction form
    238,216.34/357,384.46 = 105,133.34/x
  3. Step 3: Cross multiply
    238,216.34x = 357,384.46 × 105,133.34
  4. Step 4: Simplify right side
    238,216.34x = 37,573,021,943.90
  5. Step 5: Solve for x
    x = 37,573,021,943.90/238,216.34
  6. Step 6: Final answer
    x = 157,726.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.