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Finding the Fourth Proportional to 277,719.86, 383,254.62 and 156,862.58

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Solution

The fourth proportional to 277,719.86, 383,254.62 and 156,862.58 is: 216,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,719.86 : 383,254.62 = 156,862.58 : x
  2. Step 2: Convert to fraction form
    277,719.86/383,254.62 = 156,862.58/x
  3. Step 3: Cross multiply
    277,719.86x = 383,254.62 × 156,862.58
  4. Step 4: Simplify right side
    277,719.86x = 60,118,308,490.12
  5. Step 5: Solve for x
    x = 60,118,308,490.12/277,719.86
  6. Step 6: Final answer
    x = 216,471.05

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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.