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Finding the Fourth Proportional to 153,701.80, 230,533.26 and 48,531.40

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Solution

The fourth proportional to 153,701.80, 230,533.26 and 48,531.40 is: 72,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,701.80 : 230,533.26 = 48,531.40 : x
  2. Step 2: Convert to fraction form
    153,701.80/230,533.26 = 48,531.40/x
  3. Step 3: Cross multiply
    153,701.80x = 230,533.26 × 48,531.40
  4. Step 4: Simplify right side
    153,701.80x = 11,188,101,854.36
  5. Step 5: Solve for x
    x = 11,188,101,854.36/153,701.80
  6. Step 6: Final answer
    x = 72,790.96

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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.