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Finding the Fourth Proportional to 197,619.40, 296,472.30 and 97,827.40

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Solution

The fourth proportional to 197,619.40, 296,472.30 and 97,827.40 is: 146,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,619.40 : 296,472.30 = 97,827.40 : x
  2. Step 2: Convert to fraction form
    197,619.40/296,472.30 = 97,827.40/x
  3. Step 3: Cross multiply
    197,619.40x = 296,472.30 × 97,827.40
  4. Step 4: Simplify right side
    197,619.40x = 29,003,114,281.02
  5. Step 5: Solve for x
    x = 29,003,114,281.02/197,619.40
  6. Step 6: Final answer
    x = 146,762.49

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