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Finding the Fourth Proportional to 262,023.70, 392,128.35 and 156,918.10

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Solution

The fourth proportional to 262,023.70, 392,128.35 and 156,918.10 is: 234,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,023.70 : 392,128.35 = 156,918.10 : x
  2. Step 2: Convert to fraction form
    262,023.70/392,128.35 = 156,918.10/x
  3. Step 3: Cross multiply
    262,023.70x = 392,128.35 × 156,918.10
  4. Step 4: Simplify right side
    262,023.70x = 61,532,035,638.14
  5. Step 5: Solve for x
    x = 61,532,035,638.14/262,023.70
  6. Step 6: Final answer
    x = 234,833.86

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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.