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Finding the Fourth Proportional to 114,455.96, 157,879.46 and 75,693.72

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Solution

The fourth proportional to 114,455.96, 157,879.46 and 75,693.72 is: 104,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,455.96 : 157,879.46 = 75,693.72 : x
  2. Step 2: Convert to fraction form
    114,455.96/157,879.46 = 75,693.72/x
  3. Step 3: Cross multiply
    114,455.96x = 157,879.46 × 75,693.72
  4. Step 4: Simplify right side
    114,455.96x = 11,950,483,638.99
  5. Step 5: Solve for x
    x = 11,950,483,638.99/114,455.96
  6. Step 6: Final answer
    x = 104,411.20

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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.