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Finding the Fourth Proportional to 158,813.64, 238,205.70 and 53,633.52

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Solution

The fourth proportional to 158,813.64, 238,205.70 and 53,633.52 is: 80,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,813.64 : 238,205.70 = 53,633.52 : x
  2. Step 2: Convert to fraction form
    158,813.64/238,205.70 = 53,633.52/x
  3. Step 3: Cross multiply
    158,813.64x = 238,205.70 × 53,633.52
  4. Step 4: Simplify right side
    158,813.64x = 12,775,810,175.06
  5. Step 5: Solve for x
    x = 12,775,810,175.06/158,813.64
  6. Step 6: Final answer
    x = 80,445.30

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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.