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Finding the Fourth Proportional to 162,141.06, 242,713.08 and 138,226.14

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Solution

The fourth proportional to 162,141.06, 242,713.08 and 138,226.14 is: 206,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,141.06 : 242,713.08 = 138,226.14 : x
  2. Step 2: Convert to fraction form
    162,141.06/242,713.08 = 138,226.14/x
  3. Step 3: Cross multiply
    162,141.06x = 242,713.08 × 138,226.14
  4. Step 4: Simplify right side
    162,141.06x = 33,549,292,175.91
  5. Step 5: Solve for x
    x = 33,549,292,175.91/162,141.06
  6. Step 6: Final answer
    x = 206,914.23

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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.