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Finding the Fourth Proportional to 146,000.10, 201,450.06 and 83,898.59

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Solution

The fourth proportional to 146,000.10, 201,450.06 and 83,898.59 is: 115,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,000.10 : 201,450.06 = 83,898.59 : x
  2. Step 2: Convert to fraction form
    146,000.10/201,450.06 = 83,898.59/x
  3. Step 3: Cross multiply
    146,000.10x = 201,450.06 × 83,898.59
  4. Step 4: Simplify right side
    146,000.10x = 16,901,374,982.17
  5. Step 5: Solve for x
    x = 16,901,374,982.17/146,000.10
  6. Step 6: Final answer
    x = 115,762.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.