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Finding the Fourth Proportional to 165,159.96, 247,749.36 and 46,822

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Solution

The fourth proportional to 165,159.96, 247,749.36 and 46,822 is: 70,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,159.96 : 247,749.36 = 46,822 : x
  2. Step 2: Convert to fraction form
    165,159.96/247,749.36 = 46,822/x
  3. Step 3: Cross multiply
    165,159.96x = 247,749.36 × 46,822
  4. Step 4: Simplify right side
    165,159.96x = 11,600,120,533.92
  5. Step 5: Solve for x
    x = 11,600,120,533.92/165,159.96
  6. Step 6: Final answer
    x = 70,235.67

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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.