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Finding the Fourth Proportional to 153,175.92, 229,764.06 and 74,301.72

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Solution

The fourth proportional to 153,175.92, 229,764.06 and 74,301.72 is: 111,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,175.92 : 229,764.06 = 74,301.72 : x
  2. Step 2: Convert to fraction form
    153,175.92/229,764.06 = 74,301.72/x
  3. Step 3: Cross multiply
    153,175.92x = 229,764.06 × 74,301.72
  4. Step 4: Simplify right side
    153,175.92x = 17,071,864,852.18
  5. Step 5: Solve for x
    x = 17,071,864,852.18/153,175.92
  6. Step 6: Final answer
    x = 111,452.67

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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.