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Finding the Fourth Proportional to 164,477.04, 226,978.32 and 89,025.60

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Solution

The fourth proportional to 164,477.04, 226,978.32 and 89,025.60 is: 122,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,477.04 : 226,978.32 = 89,025.60 : x
  2. Step 2: Convert to fraction form
    164,477.04/226,978.32 = 89,025.60/x
  3. Step 3: Cross multiply
    164,477.04x = 226,978.32 × 89,025.60
  4. Step 4: Simplify right side
    164,477.04x = 20,206,881,124.99
  5. Step 5: Solve for x
    x = 20,206,881,124.99/164,477.04
  6. Step 6: Final answer
    x = 122,855.33

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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.