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Finding the Fourth Proportional to 159,334.34, 238,657.47 and 74,968.08

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Solution

The fourth proportional to 159,334.34, 238,657.47 and 74,968.08 is: 112,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,334.34 : 238,657.47 = 74,968.08 : x
  2. Step 2: Convert to fraction form
    159,334.34/238,657.47 = 74,968.08/x
  3. Step 3: Cross multiply
    159,334.34x = 238,657.47 × 74,968.08
  4. Step 4: Simplify right side
    159,334.34x = 17,891,692,303.56
  5. Step 5: Solve for x
    x = 17,891,692,303.56/159,334.34
  6. Step 6: Final answer
    x = 112,290.25

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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.