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Finding the Fourth Proportional to 123,914.76, 185,875.78 and 30,420.50

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Solution

The fourth proportional to 123,914.76, 185,875.78 and 30,420.50 is: 45,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,914.76 : 185,875.78 = 30,420.50 : x
  2. Step 2: Convert to fraction form
    123,914.76/185,875.78 = 30,420.50/x
  3. Step 3: Cross multiply
    123,914.76x = 185,875.78 × 30,420.50
  4. Step 4: Simplify right side
    123,914.76x = 5,654,434,165.49
  5. Step 5: Solve for x
    x = 5,654,434,165.49/123,914.76
  6. Step 6: Final answer
    x = 45,631.64

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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.