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Finding the Fourth Proportional to 262,069.92, 361,656.48 and 148,892.80

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Solution

The fourth proportional to 262,069.92, 361,656.48 and 148,892.80 is: 205,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,069.92 : 361,656.48 = 148,892.80 : x
  2. Step 2: Convert to fraction form
    262,069.92/361,656.48 = 148,892.80/x
  3. Step 3: Cross multiply
    262,069.92x = 361,656.48 × 148,892.80
  4. Step 4: Simplify right side
    262,069.92x = 53,848,045,945.34
  5. Step 5: Solve for x
    x = 53,848,045,945.34/262,069.92
  6. Step 6: Final answer
    x = 205,472.06

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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.