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Finding the Fourth Proportional to 153,416.99, 211,606.39 and 102,404.00

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Solution

The fourth proportional to 153,416.99, 211,606.39 and 102,404.00 is: 141,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,416.99 : 211,606.39 = 102,404.00 : x
  2. Step 2: Convert to fraction form
    153,416.99/211,606.39 = 102,404.00/x
  3. Step 3: Cross multiply
    153,416.99x = 211,606.39 × 102,404.00
  4. Step 4: Simplify right side
    153,416.99x = 21,669,341,418.58
  5. Step 5: Solve for x
    x = 21,669,341,418.58/153,416.99
  6. Step 6: Final answer
    x = 141,244.73

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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.