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Finding the Fourth Proportional to 153,410.00, 211,524.65 and 105,035.38

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Solution

The fourth proportional to 153,410.00, 211,524.65 and 105,035.38 is: 144,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,410.00 : 211,524.65 = 105,035.38 : x
  2. Step 2: Convert to fraction form
    153,410.00/211,524.65 = 105,035.38/x
  3. Step 3: Cross multiply
    153,410.00x = 211,524.65 × 105,035.38
  4. Step 4: Simplify right side
    153,410.00x = 22,217,571,466.94
  5. Step 5: Solve for x
    x = 22,217,571,466.94/153,410.00
  6. Step 6: Final answer
    x = 144,824.80

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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.