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Finding the Fourth Proportional to 223,541.40, 335,312.10 and 164,638.20

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Solution

The fourth proportional to 223,541.40, 335,312.10 and 164,638.20 is: 246,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,541.40 : 335,312.10 = 164,638.20 : x
  2. Step 2: Convert to fraction form
    223,541.40/335,312.10 = 164,638.20/x
  3. Step 3: Cross multiply
    223,541.40x = 335,312.10 × 164,638.20
  4. Step 4: Simplify right side
    223,541.40x = 55,205,180,582.22
  5. Step 5: Solve for x
    x = 55,205,180,582.22/223,541.40
  6. Step 6: Final answer
    x = 246,957.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.