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Finding the Fourth Proportional to 165,164.85, 247,663.44 and 70,358.40

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Solution

The fourth proportional to 165,164.85, 247,663.44 and 70,358.40 is: 105,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,164.85 : 247,663.44 = 70,358.40 : x
  2. Step 2: Convert to fraction form
    165,164.85/247,663.44 = 70,358.40/x
  3. Step 3: Cross multiply
    165,164.85x = 247,663.44 × 70,358.40
  4. Step 4: Simplify right side
    165,164.85x = 17,425,203,376.90
  5. Step 5: Solve for x
    x = 17,425,203,376.90/165,164.85
  6. Step 6: Final answer
    x = 105,501.89

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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.