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Finding the Fourth Proportional to 214,370.32, 295,847.76 and 118,895.68

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Solution

The fourth proportional to 214,370.32, 295,847.76 and 118,895.68 is: 164,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,370.32 : 295,847.76 = 118,895.68 : x
  2. Step 2: Convert to fraction form
    214,370.32/295,847.76 = 118,895.68/x
  3. Step 3: Cross multiply
    214,370.32x = 295,847.76 × 118,895.68
  4. Step 4: Simplify right side
    214,370.32x = 35,175,020,601.68
  5. Step 5: Solve for x
    x = 35,175,020,601.68/214,370.32
  6. Step 6: Final answer
    x = 164,085.31

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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.