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Finding the Fourth Proportional to 208,594.16, 312,900.30 and 102,067.82

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Solution

The fourth proportional to 208,594.16, 312,900.30 and 102,067.82 is: 153,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,594.16 : 312,900.30 = 102,067.82 : x
  2. Step 2: Convert to fraction form
    208,594.16/312,900.30 = 102,067.82/x
  3. Step 3: Cross multiply
    208,594.16x = 312,900.30 × 102,067.82
  4. Step 4: Simplify right side
    208,594.16x = 31,937,051,498.35
  5. Step 5: Solve for x
    x = 31,937,051,498.35/208,594.16
  6. Step 6: Final answer
    x = 153,106.16

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Why These Related Problems?

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