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Finding the Fourth Proportional to 201,654.72, 302,316.84 and 83,410.92

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Solution

The fourth proportional to 201,654.72, 302,316.84 and 83,410.92 is: 125,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,654.72 : 302,316.84 = 83,410.92 : x
  2. Step 2: Convert to fraction form
    201,654.72/302,316.84 = 83,410.92/x
  3. Step 3: Cross multiply
    201,654.72x = 302,316.84 × 83,410.92
  4. Step 4: Simplify right side
    201,654.72x = 25,216,525,755.89
  5. Step 5: Solve for x
    x = 25,216,525,755.89/201,654.72
  6. Step 6: Final answer
    x = 125,048.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.