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Finding the Fourth Proportional to 172,210.86, 258,315.93 and 47,551.50

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Solution

The fourth proportional to 172,210.86, 258,315.93 and 47,551.50 is: 71,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,210.86 : 258,315.93 = 47,551.50 : x
  2. Step 2: Convert to fraction form
    172,210.86/258,315.93 = 47,551.50/x
  3. Step 3: Cross multiply
    172,210.86x = 258,315.93 × 47,551.50
  4. Step 4: Simplify right side
    172,210.86x = 12,283,309,945.40
  5. Step 5: Solve for x
    x = 12,283,309,945.40/172,210.86
  6. Step 6: Final answer
    x = 71,327.15

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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.