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Finding the Fourth Proportional to 171,486.34, 257,267.10 and 57,630.06

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Solution

The fourth proportional to 171,486.34, 257,267.10 and 57,630.06 is: 86,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,486.34 : 257,267.10 = 57,630.06 : x
  2. Step 2: Convert to fraction form
    171,486.34/257,267.10 = 57,630.06/x
  3. Step 3: Cross multiply
    171,486.34x = 257,267.10 × 57,630.06
  4. Step 4: Simplify right side
    171,486.34x = 14,826,318,409.03
  5. Step 5: Solve for x
    x = 14,826,318,409.03/171,486.34
  6. Step 6: Final answer
    x = 86,457.72

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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.