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Finding the Fourth Proportional to 153,184, 211,393.92 and 86,116.48

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Solution

The fourth proportional to 153,184, 211,393.92 and 86,116.48 is: 118,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,184 : 211,393.92 = 86,116.48 : x
  2. Step 2: Convert to fraction form
    153,184/211,393.92 = 86,116.48/x
  3. Step 3: Cross multiply
    153,184x = 211,393.92 × 86,116.48
  4. Step 4: Simplify right side
    153,184x = 18,204,500,283.80
  5. Step 5: Solve for x
    x = 18,204,500,283.80/153,184
  6. Step 6: Final answer
    x = 118,840.74

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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.