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Finding the Fourth Proportional to 106,952.80, 160,429.20 and 106,338.40

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Solution

The fourth proportional to 106,952.80, 160,429.20 and 106,338.40 is: 159,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,952.80 : 160,429.20 = 106,338.40 : x
  2. Step 2: Convert to fraction form
    106,952.80/160,429.20 = 106,338.40/x
  3. Step 3: Cross multiply
    106,952.80x = 160,429.20 × 106,338.40
  4. Step 4: Simplify right side
    106,952.80x = 17,059,784,441.28
  5. Step 5: Solve for x
    x = 17,059,784,441.28/106,952.80
  6. Step 6: Final answer
    x = 159,507.60

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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.