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Finding the Fourth Proportional to 164,929.08, 227,602.57 and 89,477.58

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Solution

The fourth proportional to 164,929.08, 227,602.57 and 89,477.58 is: 123,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,929.08 : 227,602.57 = 89,477.58 : x
  2. Step 2: Convert to fraction form
    164,929.08/227,602.57 = 89,477.58/x
  3. Step 3: Cross multiply
    164,929.08x = 227,602.57 × 89,477.58
  4. Step 4: Simplify right side
    164,929.08x = 20,365,327,165.38
  5. Step 5: Solve for x
    x = 20,365,327,165.38/164,929.08
  6. Step 6: Final answer
    x = 123,479.30

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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.