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Finding the Fourth Proportional to 103,977.60, 155,966.40 and 102,422.40

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Solution

The fourth proportional to 103,977.60, 155,966.40 and 102,422.40 is: 153,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977.60 : 155,966.40 = 102,422.40 : x
  2. Step 2: Convert to fraction form
    103,977.60/155,966.40 = 102,422.40/x
  3. Step 3: Cross multiply
    103,977.60x = 155,966.40 × 102,422.40
  4. Step 4: Simplify right side
    103,977.60x = 15,974,453,007.36
  5. Step 5: Solve for x
    x = 15,974,453,007.36/103,977.60
  6. Step 6: Final answer
    x = 153,633.60

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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.