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Finding the Fourth Proportional to 199,443.04, 299,294.16 and 106,014.40

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Solution

The fourth proportional to 199,443.04, 299,294.16 and 106,014.40 is: 159,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,443.04 : 299,294.16 = 106,014.40 : x
  2. Step 2: Convert to fraction form
    199,443.04/299,294.16 = 106,014.40/x
  3. Step 3: Cross multiply
    199,443.04x = 299,294.16 × 106,014.40
  4. Step 4: Simplify right side
    199,443.04x = 31,729,490,795.90
  5. Step 5: Solve for x
    x = 31,729,490,795.90/199,443.04
  6. Step 6: Final answer
    x = 159,090.49

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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.