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Finding the Fourth Proportional to 266,057.32, 367,164.90 and 145,199.08

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Solution

The fourth proportional to 266,057.32, 367,164.90 and 145,199.08 is: 200,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,057.32 : 367,164.90 = 145,199.08 : x
  2. Step 2: Convert to fraction form
    266,057.32/367,164.90 = 145,199.08/x
  3. Step 3: Cross multiply
    266,057.32x = 367,164.90 × 145,199.08
  4. Step 4: Simplify right side
    266,057.32x = 53,312,005,688.29
  5. Step 5: Solve for x
    x = 53,312,005,688.29/266,057.32
  6. Step 6: Final answer
    x = 200,377.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.