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Finding the Fourth Proportional to 97,205.50, 134,143.59 and 52,493.50

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Solution

The fourth proportional to 97,205.50, 134,143.59 and 52,493.50 is: 72,441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,205.50 : 134,143.59 = 52,493.50 : x
  2. Step 2: Convert to fraction form
    97,205.50/134,143.59 = 52,493.50/x
  3. Step 3: Cross multiply
    97,205.50x = 134,143.59 × 52,493.50
  4. Step 4: Simplify right side
    97,205.50x = 7,041,666,541.67
  5. Step 5: Solve for x
    x = 7,041,666,541.67/97,205.50
  6. Step 6: Final answer
    x = 72,441.03

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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.