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Finding the Fourth Proportional to 164,235.45, 245,861.10 and 97,641.30

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Solution

The fourth proportional to 164,235.45, 245,861.10 and 97,641.30 is: 146,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,235.45 : 245,861.10 = 97,641.30 : x
  2. Step 2: Convert to fraction form
    164,235.45/245,861.10 = 97,641.30/x
  3. Step 3: Cross multiply
    164,235.45x = 245,861.10 × 97,641.30
  4. Step 4: Simplify right side
    164,235.45x = 24,006,197,423.43
  5. Step 5: Solve for x
    x = 24,006,197,423.43/164,235.45
  6. Step 6: Final answer
    x = 146,169.40

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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.