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Finding the Fourth Proportional to 266,441.16, 399,946.20 and 114,713.32

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Solution

The fourth proportional to 266,441.16, 399,946.20 and 114,713.32 is: 172,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,441.16 : 399,946.20 = 114,713.32 : x
  2. Step 2: Convert to fraction form
    266,441.16/399,946.20 = 114,713.32/x
  3. Step 3: Cross multiply
    266,441.16x = 399,946.20 × 114,713.32
  4. Step 4: Simplify right side
    266,441.16x = 45,879,156,423.38
  5. Step 5: Solve for x
    x = 45,879,156,423.38/266,441.16
  6. Step 6: Final answer
    x = 172,192.45

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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.