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Finding the Fourth Proportional to 257,206.40, 384,245.12 and 166,510.22

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Solution

The fourth proportional to 257,206.40, 384,245.12 and 166,510.22 is: 248,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,206.40 : 384,245.12 = 166,510.22 : x
  2. Step 2: Convert to fraction form
    257,206.40/384,245.12 = 166,510.22/x
  3. Step 3: Cross multiply
    257,206.40x = 384,245.12 × 166,510.22
  4. Step 4: Simplify right side
    257,206.40x = 63,980,736,711.35
  5. Step 5: Solve for x
    x = 63,980,736,711.35/257,206.40
  6. Step 6: Final answer
    x = 248,752.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.