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Finding the Fourth Proportional to 197,763.74, 296,659.43 and 97,897.12

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Solution

The fourth proportional to 197,763.74, 296,659.43 and 97,897.12 is: 146,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,763.74 : 296,659.43 = 97,897.12 : x
  2. Step 2: Convert to fraction form
    197,763.74/296,659.43 = 97,897.12/x
  3. Step 3: Cross multiply
    197,763.74x = 296,659.43 × 97,897.12
  4. Step 4: Simplify right side
    197,763.74x = 29,042,102,953.82
  5. Step 5: Solve for x
    x = 29,042,102,953.82/197,763.74
  6. Step 6: Final answer
    x = 146,852.52

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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.