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Finding the Fourth Proportional to 266,409.76, 367,670.90 and 145,569.42

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Solution

The fourth proportional to 266,409.76, 367,670.90 and 145,569.42 is: 200,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,409.76 : 367,670.90 = 145,569.42 : x
  2. Step 2: Convert to fraction form
    266,409.76/367,670.90 = 145,569.42/x
  3. Step 3: Cross multiply
    266,409.76x = 367,670.90 × 145,569.42
  4. Step 4: Simplify right side
    266,409.76x = 53,521,639,663.88
  5. Step 5: Solve for x
    x = 53,521,639,663.88/266,409.76
  6. Step 6: Final answer
    x = 200,899.70

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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.