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Finding the Fourth Proportional to 164,775, 247,162.34 and 142,522.22

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Solution

The fourth proportional to 164,775, 247,162.34 and 142,522.22 is: 213,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,775 : 247,162.34 = 142,522.22 : x
  2. Step 2: Convert to fraction form
    164,775/247,162.34 = 142,522.22/x
  3. Step 3: Cross multiply
    164,775x = 247,162.34 × 142,522.22
  4. Step 4: Simplify right side
    164,775x = 35,226,125,397.19
  5. Step 5: Solve for x
    x = 35,226,125,397.19/164,775
  6. Step 6: Final answer
    x = 213,783.19

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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.