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Finding the Fourth Proportional to 178,007.46, 266,977.20 and 53,348.46

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Solution

The fourth proportional to 178,007.46, 266,977.20 and 53,348.46 is: 80,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,007.46 : 266,977.20 = 53,348.46 : x
  2. Step 2: Convert to fraction form
    178,007.46/266,977.20 = 53,348.46/x
  3. Step 3: Cross multiply
    178,007.46x = 266,977.20 × 53,348.46
  4. Step 4: Simplify right side
    178,007.46x = 14,242,822,475.11
  5. Step 5: Solve for x
    x = 14,242,822,475.11/178,007.46
  6. Step 6: Final answer
    x = 80,012.50

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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.