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Finding the Fourth Proportional to 153,033.76, 211,186.39 and 85,048.58

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Solution

The fourth proportional to 153,033.76, 211,186.39 and 85,048.58 is: 117,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,033.76 : 211,186.39 = 85,048.58 : x
  2. Step 2: Convert to fraction form
    153,033.76/211,186.39 = 85,048.58/x
  3. Step 3: Cross multiply
    153,033.76x = 211,186.39 × 85,048.58
  4. Step 4: Simplify right side
    153,033.76x = 17,961,102,584.83
  5. Step 5: Solve for x
    x = 17,961,102,584.83/153,033.76
  6. Step 6: Final answer
    x = 117,366.93

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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.