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Finding the Fourth Proportional to 238,525.44, 357,436.80 and 105,283.20

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Solution

The fourth proportional to 238,525.44, 357,436.80 and 105,283.20 is: 157,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,525.44 : 357,436.80 = 105,283.20 : x
  2. Step 2: Convert to fraction form
    238,525.44/357,436.80 = 105,283.20/x
  3. Step 3: Cross multiply
    238,525.44x = 357,436.80 × 105,283.20
  4. Step 4: Simplify right side
    238,525.44x = 37,632,090,101.76
  5. Step 5: Solve for x
    x = 37,632,090,101.76/238,525.44
  6. Step 6: Final answer
    x = 157,769.71

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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.