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Finding the Fourth Proportional to 195,494.34, 269,782.02 and 106,070.34

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Solution

The fourth proportional to 195,494.34, 269,782.02 and 106,070.34 is: 146,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,494.34 : 269,782.02 = 106,070.34 : x
  2. Step 2: Convert to fraction form
    195,494.34/269,782.02 = 106,070.34/x
  3. Step 3: Cross multiply
    195,494.34x = 269,782.02 × 106,070.34
  4. Step 4: Simplify right side
    195,494.34x = 28,615,870,587.29
  5. Step 5: Solve for x
    x = 28,615,870,587.29/195,494.34
  6. Step 6: Final answer
    x = 146,376.98

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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.