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Finding the Fourth Proportional to 114,462.52, 171,741.02 and 61,810

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Solution

The fourth proportional to 114,462.52, 171,741.02 and 61,810 is: 92,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.52 : 171,741.02 = 61,810 : x
  2. Step 2: Convert to fraction form
    114,462.52/171,741.02 = 61,810/x
  3. Step 3: Cross multiply
    114,462.52x = 171,741.02 × 61,810
  4. Step 4: Simplify right side
    114,462.52x = 10,615,312,446.20
  5. Step 5: Solve for x
    x = 10,615,312,446.20/114,462.52
  6. Step 6: Final answer
    x = 92,740.51

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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.