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Finding the Fourth Proportional to 106,205.80, 159,308.70 and 101,655.40

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Solution

The fourth proportional to 106,205.80, 159,308.70 and 101,655.40 is: 152,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,205.80 : 159,308.70 = 101,655.40 : x
  2. Step 2: Convert to fraction form
    106,205.80/159,308.70 = 101,655.40/x
  3. Step 3: Cross multiply
    106,205.80x = 159,308.70 × 101,655.40
  4. Step 4: Simplify right side
    106,205.80x = 16,194,589,621.98
  5. Step 5: Solve for x
    x = 16,194,589,621.98/106,205.80
  6. Step 6: Final answer
    x = 152,483.10

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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.