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Finding the Fourth Proportional to 214,430.52, 295,889.58 and 123,786.12

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Solution

The fourth proportional to 214,430.52, 295,889.58 and 123,786.12 is: 170,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,430.52 : 295,889.58 = 123,786.12 : x
  2. Step 2: Convert to fraction form
    214,430.52/295,889.58 = 123,786.12/x
  3. Step 3: Cross multiply
    214,430.52x = 295,889.58 × 123,786.12
  4. Step 4: Simplify right side
    214,430.52x = 36,627,023,056.63
  5. Step 5: Solve for x
    x = 36,627,023,056.63/214,430.52
  6. Step 6: Final answer
    x = 170,810.68

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1.5x scale

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.