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Finding the Fourth Proportional to 214,047.12, 295,309.13 and 127,946.28

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Solution

The fourth proportional to 214,047.12, 295,309.13 and 127,946.28 is: 176,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,047.12 : 295,309.13 = 127,946.28 : x
  2. Step 2: Convert to fraction form
    214,047.12/295,309.13 = 127,946.28/x
  3. Step 3: Cross multiply
    214,047.12x = 295,309.13 × 127,946.28
  4. Step 4: Simplify right side
    214,047.12x = 37,783,705,101.21
  5. Step 5: Solve for x
    x = 37,783,705,101.21/214,047.12
  6. Step 6: Final answer
    x = 176,520.50

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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.