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Finding the Fourth Proportional to 208,853.00, 313,222.05 and 102,182.07

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Solution

The fourth proportional to 208,853.00, 313,222.05 and 102,182.07 is: 153,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,853.00 : 313,222.05 = 102,182.07 : x
  2. Step 2: Convert to fraction form
    208,853.00/313,222.05 = 102,182.07/x
  3. Step 3: Cross multiply
    208,853.00x = 313,222.05 × 102,182.07
  4. Step 4: Simplify right side
    208,853.00x = 32,005,677,438.64
  5. Step 5: Solve for x
    x = 32,005,677,438.64/208,853.00
  6. Step 6: Final answer
    x = 153,245.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.