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Finding the Fourth Proportional to 164,929.22, 227,602.74 and 89,477.72

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Solution

The fourth proportional to 164,929.22, 227,602.74 and 89,477.72 is: 123,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,929.22 : 227,602.74 = 89,477.72 : x
  2. Step 2: Convert to fraction form
    164,929.22/227,602.74 = 89,477.72/x
  3. Step 3: Cross multiply
    164,929.22x = 227,602.74 × 89,477.72
  4. Step 4: Simplify right side
    164,929.22x = 20,365,374,240.95
  5. Step 5: Solve for x
    x = 20,365,374,240.95/164,929.22
  6. Step 6: Final answer
    x = 123,479.48

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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.