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Finding the Fourth Proportional to 164,025, 226,337.49 and 96,038.46

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Solution

The fourth proportional to 164,025, 226,337.49 and 96,038.46 is: 132,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,025 : 226,337.49 = 96,038.46 : x
  2. Step 2: Convert to fraction form
    164,025/226,337.49 = 96,038.46/x
  3. Step 3: Cross multiply
    164,025x = 226,337.49 × 96,038.46
  4. Step 4: Simplify right side
    164,025x = 21,737,103,979.87
  5. Step 5: Solve for x
    x = 21,737,103,979.87/164,025
  6. Step 6: Final answer
    x = 132,523.12

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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.