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Finding the Fourth Proportional to 152,058.88, 209,841.92 and 84,080.64

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Solution

The fourth proportional to 152,058.88, 209,841.92 and 84,080.64 is: 116,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,058.88 : 209,841.92 = 84,080.64 : x
  2. Step 2: Convert to fraction form
    152,058.88/209,841.92 = 84,080.64/x
  3. Step 3: Cross multiply
    152,058.88x = 209,841.92 × 84,080.64
  4. Step 4: Simplify right side
    152,058.88x = 17,643,642,932.43
  5. Step 5: Solve for x
    x = 17,643,642,932.43/152,058.88
  6. Step 6: Final answer
    x = 116,031.65

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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.