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Finding the Fourth Proportional to 153,033.26, 211,185.71 and 85,048.08

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Solution

The fourth proportional to 153,033.26, 211,185.71 and 85,048.08 is: 117,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,033.26 : 211,185.71 = 85,048.08 : x
  2. Step 2: Convert to fraction form
    153,033.26/211,185.71 = 85,048.08/x
  3. Step 3: Cross multiply
    153,033.26x = 211,185.71 × 85,048.08
  4. Step 4: Simplify right side
    153,033.26x = 17,960,938,733.70
  5. Step 5: Solve for x
    x = 17,960,938,733.70/153,033.26
  6. Step 6: Final answer
    x = 117,366.25

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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.