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Finding the Fourth Proportional to 212,162.92, 292,786.98 and 116,670.32

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Solution

The fourth proportional to 212,162.92, 292,786.98 and 116,670.32 is: 161,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,162.92 : 292,786.98 = 116,670.32 : x
  2. Step 2: Convert to fraction form
    212,162.92/292,786.98 = 116,670.32/x
  3. Step 3: Cross multiply
    212,162.92x = 292,786.98 × 116,670.32
  4. Step 4: Simplify right side
    212,162.92x = 34,159,550,648.43
  5. Step 5: Solve for x
    x = 34,159,550,648.43/212,162.92
  6. Step 6: Final answer
    x = 161,006.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.