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Finding the Fourth Proportional to 241,901.54, 362,397.14 and 141,764.28

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Solution

The fourth proportional to 241,901.54, 362,397.14 and 141,764.28 is: 212,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,901.54 : 362,397.14 = 141,764.28 : x
  2. Step 2: Convert to fraction form
    241,901.54/362,397.14 = 141,764.28/x
  3. Step 3: Cross multiply
    241,901.54x = 362,397.14 × 141,764.28
  4. Step 4: Simplify right side
    241,901.54x = 51,374,969,626.16
  5. Step 5: Solve for x
    x = 51,374,969,626.16/241,901.54
  6. Step 6: Final answer
    x = 212,379.67

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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.