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Finding the Fourth Proportional to 97,406.96, 146,116.98 and 34,219.40

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Solution

The fourth proportional to 97,406.96, 146,116.98 and 34,219.40 is: 51,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,406.96 : 146,116.98 = 34,219.40 : x
  2. Step 2: Convert to fraction form
    97,406.96/146,116.98 = 34,219.40/x
  3. Step 3: Cross multiply
    97,406.96x = 146,116.98 × 34,219.40
  4. Step 4: Simplify right side
    97,406.96x = 5,000,035,385.41
  5. Step 5: Solve for x
    x = 5,000,035,385.41/97,406.96
  6. Step 6: Final answer
    x = 51,331.40

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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.