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Finding the Fourth Proportional to 262,058.70, 392,180.85 and 156,953.10

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Solution

The fourth proportional to 262,058.70, 392,180.85 and 156,953.10 is: 234,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,058.70 : 392,180.85 = 156,953.10 : x
  2. Step 2: Convert to fraction form
    262,058.70/392,180.85 = 156,953.10/x
  3. Step 3: Cross multiply
    262,058.70x = 392,180.85 × 156,953.10
  4. Step 4: Simplify right side
    262,058.70x = 61,554,000,168.14
  5. Step 5: Solve for x
    x = 61,554,000,168.14/262,058.70
  6. Step 6: Final answer
    x = 234,886.31

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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.