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Finding the Fourth Proportional to 235,356.91, 353,027.16 and 75,430.51

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Solution

The fourth proportional to 235,356.91, 353,027.16 and 75,430.51 is: 113,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,356.91 : 353,027.16 = 75,430.51 : x
  2. Step 2: Convert to fraction form
    235,356.91/353,027.16 = 75,430.51/x
  3. Step 3: Cross multiply
    235,356.91x = 353,027.16 × 75,430.51
  4. Step 4: Simplify right side
    235,356.91x = 26,629,017,840.08
  5. Step 5: Solve for x
    x = 26,629,017,840.08/235,356.91
  6. Step 6: Final answer
    x = 113,143.13

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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.