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Finding the Fourth Proportional to 111,527.64, 153,854.10 and 73,833.48

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Solution

The fourth proportional to 111,527.64, 153,854.10 and 73,833.48 is: 101,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,527.64 : 153,854.10 = 73,833.48 : x
  2. Step 2: Convert to fraction form
    111,527.64/153,854.10 = 73,833.48/x
  3. Step 3: Cross multiply
    111,527.64x = 153,854.10 × 73,833.48
  4. Step 4: Simplify right side
    111,527.64x = 11,359,583,615.27
  5. Step 5: Solve for x
    x = 11,359,583,615.27/111,527.64
  6. Step 6: Final answer
    x = 101,854.42

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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.