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Finding the Fourth Proportional to 156,970.65, 234,963.90 and 112,683.90

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Solution

The fourth proportional to 156,970.65, 234,963.90 and 112,683.90 is: 168,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970.65 : 234,963.90 = 112,683.90 : x
  2. Step 2: Convert to fraction form
    156,970.65/234,963.90 = 112,683.90/x
  3. Step 3: Cross multiply
    156,970.65x = 234,963.90 × 112,683.90
  4. Step 4: Simplify right side
    156,970.65x = 26,476,648,611.21
  5. Step 5: Solve for x
    x = 26,476,648,611.21/156,970.65
  6. Step 6: Final answer
    x = 168,672.61

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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.