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Finding the Fourth Proportional to 172,307.16, 258,431.58 and 47,619

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Solution

The fourth proportional to 172,307.16, 258,431.58 and 47,619 is: 71,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,307.16 : 258,431.58 = 47,619 : x
  2. Step 2: Convert to fraction form
    172,307.16/258,431.58 = 47,619/x
  3. Step 3: Cross multiply
    172,307.16x = 258,431.58 × 47,619
  4. Step 4: Simplify right side
    172,307.16x = 12,306,253,408.02
  5. Step 5: Solve for x
    x = 12,306,253,408.02/172,307.16
  6. Step 6: Final answer
    x = 71,420.44

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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.