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Finding the Fourth Proportional to 129,686.50, 178,967.37 and 70,070.50

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Solution

The fourth proportional to 129,686.50, 178,967.37 and 70,070.50 is: 96,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,686.50 : 178,967.37 = 70,070.50 : x
  2. Step 2: Convert to fraction form
    129,686.50/178,967.37 = 70,070.50/x
  3. Step 3: Cross multiply
    129,686.50x = 178,967.37 × 70,070.50
  4. Step 4: Simplify right side
    129,686.50x = 12,540,333,099.59
  5. Step 5: Solve for x
    x = 12,540,333,099.59/129,686.50
  6. Step 6: Final answer
    x = 96,697.29

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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.