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Finding the Fourth Proportional to 296,235.78, 408,804.26 and 160,269.29

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Solution

The fourth proportional to 296,235.78, 408,804.26 and 160,269.29 is: 221,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,235.78 : 408,804.26 = 160,269.29 : x
  2. Step 2: Convert to fraction form
    296,235.78/408,804.26 = 160,269.29/x
  3. Step 3: Cross multiply
    296,235.78x = 408,804.26 × 160,269.29
  4. Step 4: Simplify right side
    296,235.78x = 65,518,765,653.81
  5. Step 5: Solve for x
    x = 65,518,765,653.81/296,235.78
  6. Step 6: Final answer
    x = 221,171.01

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Why These Related Problems?

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