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Finding the Fourth Proportional to 263,712.92, 363,955.74 and 148,996.40

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Solution

The fourth proportional to 263,712.92, 363,955.74 and 148,996.40 is: 205,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,712.92 : 363,955.74 = 148,996.40 : x
  2. Step 2: Convert to fraction form
    263,712.92/363,955.74 = 148,996.40/x
  3. Step 3: Cross multiply
    263,712.92x = 363,955.74 × 148,996.40
  4. Step 4: Simplify right side
    263,712.92x = 54,228,095,019.34
  5. Step 5: Solve for x
    x = 54,228,095,019.34/263,712.92
  6. Step 6: Final answer
    x = 205,633.06

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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.