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Finding the Fourth Proportional to 268,190.46, 402,337.59 and 101,965.50

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Solution

The fourth proportional to 268,190.46, 402,337.59 and 101,965.50 is: 152,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,190.46 : 402,337.59 = 101,965.50 : x
  2. Step 2: Convert to fraction form
    268,190.46/402,337.59 = 101,965.50/x
  3. Step 3: Cross multiply
    268,190.46x = 402,337.59 × 101,965.50
  4. Step 4: Simplify right side
    268,190.46x = 41,024,553,533.15
  5. Step 5: Solve for x
    x = 41,024,553,533.15/268,190.46
  6. Step 6: Final answer
    x = 152,967.98

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