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Finding the Fourth Proportional to 97,222.50, 134,167.14 and 52,510.50

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Solution

The fourth proportional to 97,222.50, 134,167.14 and 52,510.50 is: 72,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,222.50 : 134,167.14 = 52,510.50 : x
  2. Step 2: Convert to fraction form
    97,222.50/134,167.14 = 52,510.50/x
  3. Step 3: Cross multiply
    97,222.50x = 134,167.14 × 52,510.50
  4. Step 4: Simplify right side
    97,222.50x = 7,045,183,604.97
  5. Step 5: Solve for x
    x = 7,045,183,604.97/97,222.50
  6. Step 6: Final answer
    x = 72,464.54

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1.5x scale

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.