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Finding the Fourth Proportional to 105,718.50, 145,890.51 and 57,971.70

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Solution

The fourth proportional to 105,718.50, 145,890.51 and 57,971.70 is: 80,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,718.50 : 145,890.51 = 57,971.70 : x
  2. Step 2: Convert to fraction form
    105,718.50/145,890.51 = 57,971.70/x
  3. Step 3: Cross multiply
    105,718.50x = 145,890.51 × 57,971.70
  4. Step 4: Simplify right side
    105,718.50x = 8,457,520,878.57
  5. Step 5: Solve for x
    x = 8,457,520,878.57/105,718.50
  6. Step 6: Final answer
    x = 80,000.39

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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.