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Finding the Fourth Proportional to 189,386.24, 284,005.56 and 70,993

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Solution

The fourth proportional to 189,386.24, 284,005.56 and 70,993 is: 106,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,386.24 : 284,005.56 = 70,993 : x
  2. Step 2: Convert to fraction form
    189,386.24/284,005.56 = 70,993/x
  3. Step 3: Cross multiply
    189,386.24x = 284,005.56 × 70,993
  4. Step 4: Simplify right side
    189,386.24x = 20,162,406,721.08
  5. Step 5: Solve for x
    x = 20,162,406,721.08/189,386.24
  6. Step 6: Final answer
    x = 106,461.84

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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.