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Finding the Fourth Proportional to 200,054.14, 299,925.42 and 100,162.87

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Solution

The fourth proportional to 200,054.14, 299,925.42 and 100,162.87 is: 150,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,054.14 : 299,925.42 = 100,162.87 : x
  2. Step 2: Convert to fraction form
    200,054.14/299,925.42 = 100,162.87/x
  3. Step 3: Cross multiply
    200,054.14x = 299,925.42 × 100,162.87
  4. Step 4: Simplify right side
    200,054.14x = 30,041,390,853.16
  5. Step 5: Solve for x
    x = 30,041,390,853.16/200,054.14
  6. Step 6: Final answer
    x = 150,166.30

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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.