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Finding the Fourth Proportional to 156,675.74, 235,013.20 and 56,835.74

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Solution

The fourth proportional to 156,675.74, 235,013.20 and 56,835.74 is: 85,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,675.74 : 235,013.20 = 56,835.74 : x
  2. Step 2: Convert to fraction form
    156,675.74/235,013.20 = 56,835.74/x
  3. Step 3: Cross multiply
    156,675.74x = 235,013.20 × 56,835.74
  4. Step 4: Simplify right side
    156,675.74x = 13,357,149,577.21
  5. Step 5: Solve for x
    x = 13,357,149,577.21/156,675.74
  6. Step 6: Final answer
    x = 85,253.47

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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.