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Finding the Fourth Proportional to 100,459.02, 150,688.50 and 78,288.98

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Solution

The fourth proportional to 100,459.02, 150,688.50 and 78,288.98 is: 117,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459.02 : 150,688.50 = 78,288.98 : x
  2. Step 2: Convert to fraction form
    100,459.02/150,688.50 = 78,288.98/x
  3. Step 3: Cross multiply
    100,459.02x = 150,688.50 × 78,288.98
  4. Step 4: Simplify right side
    100,459.02x = 11,797,248,962.73
  5. Step 5: Solve for x
    x = 11,797,248,962.73/100,459.02
  6. Step 6: Final answer
    x = 117,433.45

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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.