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Finding the Fourth Proportional to 129,633.50, 178,894.35 and 70,017.50

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Solution

The fourth proportional to 129,633.50, 178,894.35 and 70,017.50 is: 96,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,633.50 : 178,894.35 = 70,017.50 : x
  2. Step 2: Convert to fraction form
    129,633.50/178,894.35 = 70,017.50/x
  3. Step 3: Cross multiply
    129,633.50x = 178,894.35 × 70,017.50
  4. Step 4: Simplify right side
    129,633.50x = 12,525,735,151.13
  5. Step 5: Solve for x
    x = 12,525,735,151.13/129,633.50
  6. Step 6: Final answer
    x = 96,624.21

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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.