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Finding the Fourth Proportional to 238,215.34, 357,382.95 and 105,132.34

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Solution

The fourth proportional to 238,215.34, 357,382.95 and 105,132.34 is: 157,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,215.34 : 357,382.95 = 105,132.34 : x
  2. Step 2: Convert to fraction form
    238,215.34/357,382.95 = 105,132.34/x
  3. Step 3: Cross multiply
    238,215.34x = 357,382.95 × 105,132.34
  4. Step 4: Simplify right side
    238,215.34x = 37,572,505,809.60
  5. Step 5: Solve for x
    x = 37,572,505,809.60/238,215.34
  6. Step 6: Final answer
    x = 157,724.96

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1.5x scale

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.