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Finding the Fourth Proportional to 97,815.10, 146,722.65 and 97,815.10

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Solution

The fourth proportional to 97,815.10, 146,722.65 and 97,815.10 is: 146,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,815.10 : 146,722.65 = 97,815.10 : x
  2. Step 2: Convert to fraction form
    97,815.10/146,722.65 = 97,815.10/x
  3. Step 3: Cross multiply
    97,815.10x = 146,722.65 × 97,815.10
  4. Step 4: Simplify right side
    97,815.10x = 14,351,690,682.02
  5. Step 5: Solve for x
    x = 14,351,690,682.02/97,815.10
  6. Step 6: Final answer
    x = 146,722.65

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1.5x scale

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.