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Finding the Fourth Proportional to 156,955.78, 235,375.35 and 51,746.50

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Solution

The fourth proportional to 156,955.78, 235,375.35 and 51,746.50 is: 77,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,955.78 : 235,375.35 = 51,746.50 : x
  2. Step 2: Convert to fraction form
    156,955.78/235,375.35 = 51,746.50/x
  3. Step 3: Cross multiply
    156,955.78x = 235,375.35 × 51,746.50
  4. Step 4: Simplify right side
    156,955.78x = 12,179,850,548.78
  5. Step 5: Solve for x
    x = 12,179,850,548.78/156,955.78
  6. Step 6: Final answer
    x = 77,600.52

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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.