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Finding the Fourth Proportional to 172,296.86, 258,450.16 and 47,637.86

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Solution

The fourth proportional to 172,296.86, 258,450.16 and 47,637.86 is: 71,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,296.86 : 258,450.16 = 47,637.86 : x
  2. Step 2: Convert to fraction form
    172,296.86/258,450.16 = 47,637.86/x
  3. Step 3: Cross multiply
    172,296.86x = 258,450.16 × 47,637.86
  4. Step 4: Simplify right side
    172,296.86x = 12,312,012,539.06
  5. Step 5: Solve for x
    x = 12,312,012,539.06/172,296.86
  6. Step 6: Final answer
    x = 71,458.14

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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.