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Finding the Fourth Proportional to 164,506.60, 227,019.12 and 89,055.08

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Solution

The fourth proportional to 164,506.60, 227,019.12 and 89,055.08 is: 122,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,506.60 : 227,019.12 = 89,055.08 : x
  2. Step 2: Convert to fraction form
    164,506.60/227,019.12 = 89,055.08/x
  3. Step 3: Cross multiply
    164,506.60x = 227,019.12 × 89,055.08
  4. Step 4: Simplify right side
    164,506.60x = 20,217,205,893.13
  5. Step 5: Solve for x
    x = 20,217,205,893.13/164,506.60
  6. Step 6: Final answer
    x = 122,896.02

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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.