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Finding the Fourth Proportional to 130,707.25, 196,060.84 and 37,213

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Solution

The fourth proportional to 130,707.25, 196,060.84 and 37,213 is: 55,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,707.25 : 196,060.84 = 37,213 : x
  2. Step 2: Convert to fraction form
    130,707.25/196,060.84 = 37,213/x
  3. Step 3: Cross multiply
    130,707.25x = 196,060.84 × 37,213
  4. Step 4: Simplify right side
    130,707.25x = 7,296,012,038.92
  5. Step 5: Solve for x
    x = 7,296,012,038.92/130,707.25
  6. Step 6: Final answer
    x = 55,819.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.