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Finding the Fourth Proportional to 172,058.10, 257,358.15 and 154,416.30

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Solution

The fourth proportional to 172,058.10, 257,358.15 and 154,416.30 is: 230,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,058.10 : 257,358.15 = 154,416.30 : x
  2. Step 2: Convert to fraction form
    172,058.10/257,358.15 = 154,416.30/x
  3. Step 3: Cross multiply
    172,058.10x = 257,358.15 × 154,416.30
  4. Step 4: Simplify right side
    172,058.10x = 39,740,293,297.85
  5. Step 5: Solve for x
    x = 39,740,293,297.85/172,058.10
  6. Step 6: Final answer
    x = 230,970.20

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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.