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Finding the Fourth Proportional to 288,157.02, 397,620 and 160,837.98

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Solution

The fourth proportional to 288,157.02, 397,620 and 160,837.98 is: 221,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,157.02 : 397,620 = 160,837.98 : x
  2. Step 2: Convert to fraction form
    288,157.02/397,620 = 160,837.98/x
  3. Step 3: Cross multiply
    288,157.02x = 397,620 × 160,837.98
  4. Step 4: Simplify right side
    288,157.02x = 63,952,397,607.60
  5. Step 5: Solve for x
    x = 63,952,397,607.60/288,157.02
  6. Step 6: Final answer
    x = 221,935.93

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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.