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Finding the Fourth Proportional to 164,918.19, 227,587.53 and 89,466.69

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Solution

The fourth proportional to 164,918.19, 227,587.53 and 89,466.69 is: 123,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,918.19 : 227,587.53 = 89,466.69 : x
  2. Step 2: Convert to fraction form
    164,918.19/227,587.53 = 89,466.69/x
  3. Step 3: Cross multiply
    164,918.19x = 227,587.53 × 89,466.69
  4. Step 4: Simplify right side
    164,918.19x = 20,361,502,994.38
  5. Step 5: Solve for x
    x = 20,361,502,994.38/164,918.19
  6. Step 6: Final answer
    x = 123,464.26

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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.