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Finding the Fourth Proportional to 113,554.32, 156,704.97 and 65,835.36

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Solution

The fourth proportional to 113,554.32, 156,704.97 and 65,835.36 is: 90,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,554.32 : 156,704.97 = 65,835.36 : x
  2. Step 2: Convert to fraction form
    113,554.32/156,704.97 = 65,835.36/x
  3. Step 3: Cross multiply
    113,554.32x = 156,704.97 × 65,835.36
  4. Step 4: Simplify right side
    113,554.32x = 10,316,728,113.74
  5. Step 5: Solve for x
    x = 10,316,728,113.74/113,554.32
  6. Step 6: Final answer
    x = 90,852.80

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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.