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Finding the Fourth Proportional to 139,984.70, 209,685.45 and 116,656.70

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Solution

The fourth proportional to 139,984.70, 209,685.45 and 116,656.70 is: 174,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,984.70 : 209,685.45 = 116,656.70 : x
  2. Step 2: Convert to fraction form
    139,984.70/209,685.45 = 116,656.70/x
  3. Step 3: Cross multiply
    139,984.70x = 209,685.45 × 116,656.70
  4. Step 4: Simplify right side
    139,984.70x = 24,461,212,635.02
  5. Step 5: Solve for x
    x = 24,461,212,635.02/139,984.70
  6. Step 6: Final answer
    x = 174,742.04

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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.