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Finding the Fourth Proportional to 164,484.78, 226,989.71 and 89,033.28

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Solution

The fourth proportional to 164,484.78, 226,989.71 and 89,033.28 is: 122,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,484.78 : 226,989.71 = 89,033.28 : x
  2. Step 2: Convert to fraction form
    164,484.78/226,989.71 = 89,033.28/x
  3. Step 3: Cross multiply
    164,484.78x = 226,989.71 × 89,033.28
  4. Step 4: Simplify right side
    164,484.78x = 20,209,637,445.05
  5. Step 5: Solve for x
    x = 20,209,637,445.05/164,484.78
  6. Step 6: Final answer
    x = 122,866.31

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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.