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Finding the Fourth Proportional to 296,119.36, 408,644.72 and 160,153.32

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Solution

The fourth proportional to 296,119.36, 408,644.72 and 160,153.32 is: 221,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,119.36 : 408,644.72 = 160,153.32 : x
  2. Step 2: Convert to fraction form
    296,119.36/408,644.72 = 160,153.32/x
  3. Step 3: Cross multiply
    296,119.36x = 408,644.72 × 160,153.32
  4. Step 4: Simplify right side
    296,119.36x = 65,445,808,608.47
  5. Step 5: Solve for x
    x = 65,445,808,608.47/296,119.36
  6. Step 6: Final answer
    x = 221,011.58

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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.