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Finding the Fourth Proportional to 201,386.88, 301,981.44 and 83,116.80

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Solution

The fourth proportional to 201,386.88, 301,981.44 and 83,116.80 is: 124,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,386.88 : 301,981.44 = 83,116.80 : x
  2. Step 2: Convert to fraction form
    201,386.88/301,981.44 = 83,116.80/x
  3. Step 3: Cross multiply
    201,386.88x = 301,981.44 × 83,116.80
  4. Step 4: Simplify right side
    201,386.88x = 25,099,730,952.19
  5. Step 5: Solve for x
    x = 25,099,730,952.19/201,386.88
  6. Step 6: Final answer
    x = 124,634.39

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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.