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Finding the Fourth Proportional to 153,102.89, 211,208.38 and 99,404.75

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Solution

The fourth proportional to 153,102.89, 211,208.38 and 99,404.75 is: 137,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,102.89 : 211,208.38 = 99,404.75 : x
  2. Step 2: Convert to fraction form
    153,102.89/211,208.38 = 99,404.75/x
  3. Step 3: Cross multiply
    153,102.89x = 211,208.38 × 99,404.75
  4. Step 4: Simplify right side
    153,102.89x = 20,995,116,491.31
  5. Step 5: Solve for x
    x = 20,995,116,491.31/153,102.89
  6. Step 6: Final answer
    x = 137,130.76

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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.