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Finding the Fourth Proportional to 289,740.30, 399,882.62 and 160,707.30

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Solution

The fourth proportional to 289,740.30, 399,882.62 and 160,707.30 is: 221,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,740.30 : 399,882.62 = 160,707.30 : x
  2. Step 2: Convert to fraction form
    289,740.30/399,882.62 = 160,707.30/x
  3. Step 3: Cross multiply
    289,740.30x = 399,882.62 × 160,707.30
  4. Step 4: Simplify right side
    289,740.30x = 64,264,056,177.13
  5. Step 5: Solve for x
    x = 64,264,056,177.13/289,740.30
  6. Step 6: Final answer
    x = 221,798.82

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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.