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Finding the Fourth Proportional to 226,723.61, 312,748.61 and 141,693.05

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Solution

The fourth proportional to 226,723.61, 312,748.61 and 141,693.05 is: 195,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,723.61 : 312,748.61 = 141,693.05 : x
  2. Step 2: Convert to fraction form
    226,723.61/312,748.61 = 141,693.05/x
  3. Step 3: Cross multiply
    226,723.61x = 312,748.61 × 141,693.05
  4. Step 4: Simplify right side
    226,723.61x = 44,314,303,545.38
  5. Step 5: Solve for x
    x = 44,314,303,545.38/226,723.61
  6. Step 6: Final answer
    x = 195,455.18

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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.