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Finding the Fourth Proportional to 195,495.34, 269,783.40 and 106,071.34

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Solution

The fourth proportional to 195,495.34, 269,783.40 and 106,071.34 is: 146,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,495.34 : 269,783.40 = 106,071.34 : x
  2. Step 2: Convert to fraction form
    195,495.34/269,783.40 = 106,071.34/x
  3. Step 3: Cross multiply
    195,495.34x = 269,783.40 × 106,071.34
  4. Step 4: Simplify right side
    195,495.34x = 28,616,286,747.76
  5. Step 5: Solve for x
    x = 28,616,286,747.76/195,495.34
  6. Step 6: Final answer
    x = 146,378.36

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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.