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Finding the Fourth Proportional to 153,484.38, 211,808.16 and 89,834.22

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Solution

The fourth proportional to 153,484.38, 211,808.16 and 89,834.22 is: 123,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,484.38 : 211,808.16 = 89,834.22 : x
  2. Step 2: Convert to fraction form
    153,484.38/211,808.16 = 89,834.22/x
  3. Step 3: Cross multiply
    153,484.38x = 211,808.16 × 89,834.22
  4. Step 4: Simplify right side
    153,484.38x = 19,027,620,843.24
  5. Step 5: Solve for x
    x = 19,027,620,843.24/153,484.38
  6. Step 6: Final answer
    x = 123,971.06

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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.