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Finding the Fourth Proportional to 262,113.90, 392,580.36 and 156,711.84

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Solution

The fourth proportional to 262,113.90, 392,580.36 and 156,711.84 is: 234,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,113.90 : 392,580.36 = 156,711.84 : x
  2. Step 2: Convert to fraction form
    262,113.90/392,580.36 = 156,711.84/x
  3. Step 3: Cross multiply
    262,113.90x = 392,580.36 × 156,711.84
  4. Step 4: Simplify right side
    262,113.90x = 61,521,990,563.46
  5. Step 5: Solve for x
    x = 61,521,990,563.46/262,113.90
  6. Step 6: Final answer
    x = 234,714.72

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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.