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Finding the Fourth Proportional to 257,133.42, 384,136.45 and 166,437.31

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Solution

The fourth proportional to 257,133.42, 384,136.45 and 166,437.31 is: 248,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,133.42 : 384,136.45 = 166,437.31 : x
  2. Step 2: Convert to fraction form
    257,133.42/384,136.45 = 166,437.31/x
  3. Step 3: Cross multiply
    257,133.42x = 384,136.45 × 166,437.31
  4. Step 4: Simplify right side
    257,133.42x = 63,934,637,410.95
  5. Step 5: Solve for x
    x = 63,934,637,410.95/257,133.42
  6. Step 6: Final answer
    x = 248,643.83

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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.