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Finding the Fourth Proportional to 197,756.72, 296,428.76 and 97,854.56

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Solution

The fourth proportional to 197,756.72, 296,428.76 and 97,854.56 is: 146,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,756.72 : 296,428.76 = 97,854.56 : x
  2. Step 2: Convert to fraction form
    197,756.72/296,428.76 = 97,854.56/x
  3. Step 3: Cross multiply
    197,756.72x = 296,428.76 × 97,854.56
  4. Step 4: Simplify right side
    197,756.72x = 29,006,905,881.15
  5. Step 5: Solve for x
    x = 29,006,905,881.15/197,756.72
  6. Step 6: Final answer
    x = 146,679.75

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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.