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Finding the Fourth Proportional to 164,489.94, 226,996.47 and 89,038.44

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Solution

The fourth proportional to 164,489.94, 226,996.47 and 89,038.44 is: 122,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,489.94 : 226,996.47 = 89,038.44 : x
  2. Step 2: Convert to fraction form
    164,489.94/226,996.47 = 89,038.44/x
  3. Step 3: Cross multiply
    164,489.94x = 226,996.47 × 89,038.44
  4. Step 4: Simplify right side
    164,489.94x = 20,211,411,574.31
  5. Step 5: Solve for x
    x = 20,211,411,574.31/164,489.94
  6. Step 6: Final answer
    x = 122,873.24

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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.