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Finding the Fourth Proportional to 178,783.16, 268,174.47 and 45,663.38

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Solution

The fourth proportional to 178,783.16, 268,174.47 and 45,663.38 is: 68,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,783.16 : 268,174.47 = 45,663.38 : x
  2. Step 2: Convert to fraction form
    178,783.16/268,174.47 = 45,663.38/x
  3. Step 3: Cross multiply
    178,783.16x = 268,174.47 × 45,663.38
  4. Step 4: Simplify right side
    178,783.16x = 12,245,752,729.91
  5. Step 5: Solve for x
    x = 12,245,752,729.91/178,783.16
  6. Step 6: Final answer
    x = 68,495.00

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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.