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Finding the Fourth Proportional to 106,152.59, 159,228.89 and 27,266.90

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Solution

The fourth proportional to 106,152.59, 159,228.89 and 27,266.90 is: 40,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,152.59 : 159,228.89 = 27,266.90 : x
  2. Step 2: Convert to fraction form
    106,152.59/159,228.89 = 27,266.90/x
  3. Step 3: Cross multiply
    106,152.59x = 159,228.89 × 27,266.90
  4. Step 4: Simplify right side
    106,152.59x = 4,341,677,390.51
  5. Step 5: Solve for x
    x = 4,341,677,390.51/106,152.59
  6. Step 6: Final answer
    x = 40,900.34

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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.