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Finding the Fourth Proportional to 97,814.55, 146,721.83 and 97,814.55

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Solution

The fourth proportional to 97,814.55, 146,721.83 and 97,814.55 is: 146,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,814.55 : 146,721.83 = 97,814.55 : x
  2. Step 2: Convert to fraction form
    97,814.55/146,721.83 = 97,814.55/x
  3. Step 3: Cross multiply
    97,814.55x = 146,721.83 × 97,814.55
  4. Step 4: Simplify right side
    97,814.55x = 14,351,529,287.55
  5. Step 5: Solve for x
    x = 14,351,529,287.55/97,814.55
  6. Step 6: Final answer
    x = 146,721.83

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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.