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Finding the Fourth Proportional to 257,118.30, 354,705.47 and 166,503.45

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Solution

The fourth proportional to 257,118.30, 354,705.47 and 166,503.45 is: 229,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,118.30 : 354,705.47 = 166,503.45 : x
  2. Step 2: Convert to fraction form
    257,118.30/354,705.47 = 166,503.45/x
  3. Step 3: Cross multiply
    257,118.30x = 354,705.47 × 166,503.45
  4. Step 4: Simplify right side
    257,118.30x = 59,059,683,656.35
  5. Step 5: Solve for x
    x = 59,059,683,656.35/257,118.30
  6. Step 6: Final answer
    x = 229,698.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.