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Finding the Fourth Proportional to 159,065.77, 238,598.70 and 74,764.03

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Solution

The fourth proportional to 159,065.77, 238,598.70 and 74,764.03 is: 112,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,065.77 : 238,598.70 = 74,764.03 : x
  2. Step 2: Convert to fraction form
    159,065.77/238,598.70 = 74,764.03/x
  3. Step 3: Cross multiply
    159,065.77x = 238,598.70 × 74,764.03
  4. Step 4: Simplify right side
    159,065.77x = 17,838,600,364.76
  5. Step 5: Solve for x
    x = 17,838,600,364.76/159,065.77
  6. Step 6: Final answer
    x = 112,146.07

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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.