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Finding the Fourth Proportional to 214,762.46, 296,592.66 and 160,962.26

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Solution

The fourth proportional to 214,762.46, 296,592.66 and 160,962.26 is: 222,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,762.46 : 296,592.66 = 160,962.26 : x
  2. Step 2: Convert to fraction form
    214,762.46/296,592.66 = 160,962.26/x
  3. Step 3: Cross multiply
    214,762.46x = 296,592.66 × 160,962.26
  4. Step 4: Simplify right side
    214,762.46x = 47,740,223,370.05
  5. Step 5: Solve for x
    x = 47,740,223,370.05/214,762.46
  6. Step 6: Final answer
    x = 222,293.15

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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.