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Finding the Fourth Proportional to 201,200.76, 301,864.32 and 82,927.80

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Solution

The fourth proportional to 201,200.76, 301,864.32 and 82,927.80 is: 124,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.76 : 301,864.32 = 82,927.80 : x
  2. Step 2: Convert to fraction form
    201,200.76/301,864.32 = 82,927.80/x
  3. Step 3: Cross multiply
    201,200.76x = 301,864.32 × 82,927.80
  4. Step 4: Simplify right side
    201,200.76x = 25,032,943,956.10
  5. Step 5: Solve for x
    x = 25,032,943,956.10/201,200.76
  6. Step 6: Final answer
    x = 124,417.74

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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.