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Finding the Fourth Proportional to 214,287.52, 295,706.88 and 118,792.96

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Solution

The fourth proportional to 214,287.52, 295,706.88 and 118,792.96 is: 163,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,287.52 : 295,706.88 = 118,792.96 : x
  2. Step 2: Convert to fraction form
    214,287.52/295,706.88 = 118,792.96/x
  3. Step 3: Cross multiply
    214,287.52x = 295,706.88 × 118,792.96
  4. Step 4: Simplify right side
    214,287.52x = 35,127,895,567.56
  5. Step 5: Solve for x
    x = 35,127,895,567.56/214,287.52
  6. Step 6: Final answer
    x = 163,928.80

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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.