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Finding the Fourth Proportional to 101,363.23, 152,041.74 and 42,197.41

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Solution

The fourth proportional to 101,363.23, 152,041.74 and 42,197.41 is: 63,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,363.23 : 152,041.74 = 42,197.41 : x
  2. Step 2: Convert to fraction form
    101,363.23/152,041.74 = 42,197.41/x
  3. Step 3: Cross multiply
    101,363.23x = 152,041.74 × 42,197.41
  4. Step 4: Simplify right side
    101,363.23x = 6,415,767,639.89
  5. Step 5: Solve for x
    x = 6,415,767,639.89/101,363.23
  6. Step 6: Final answer
    x = 63,294.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.