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Finding the Fourth Proportional to 153,494.36, 211,837.38 and 89,828.36

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Solution

The fourth proportional to 153,494.36, 211,837.38 and 89,828.36 is: 123,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,494.36 : 211,837.38 = 89,828.36 : x
  2. Step 2: Convert to fraction form
    153,494.36/211,837.38 = 89,828.36/x
  3. Step 3: Cross multiply
    153,494.36x = 211,837.38 × 89,828.36
  4. Step 4: Simplify right side
    153,494.36x = 19,029,004,432.10
  5. Step 5: Solve for x
    x = 19,029,004,432.10/153,494.36
  6. Step 6: Final answer
    x = 123,972.01

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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.