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Finding the Fourth Proportional to 197,502.96, 296,254.44 and 108,710.76

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Solution

The fourth proportional to 197,502.96, 296,254.44 and 108,710.76 is: 163,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,502.96 : 296,254.44 = 108,710.76 : x
  2. Step 2: Convert to fraction form
    197,502.96/296,254.44 = 108,710.76/x
  3. Step 3: Cross multiply
    197,502.96x = 296,254.44 × 108,710.76
  4. Step 4: Simplify right side
    197,502.96x = 32,206,045,325.77
  5. Step 5: Solve for x
    x = 32,206,045,325.77/197,502.96
  6. Step 6: Final answer
    x = 163,066.14

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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.