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Finding the Fourth Proportional to 189,434.40, 284,077.36 and 71,041.20

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Solution

The fourth proportional to 189,434.40, 284,077.36 and 71,041.20 is: 106,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,434.40 : 284,077.36 = 71,041.20 : x
  2. Step 2: Convert to fraction form
    189,434.40/284,077.36 = 71,041.20/x
  3. Step 3: Cross multiply
    189,434.40x = 284,077.36 × 71,041.20
  4. Step 4: Simplify right side
    189,434.40x = 20,181,196,547.23
  5. Step 5: Solve for x
    x = 20,181,196,547.23/189,434.40
  6. Step 6: Final answer
    x = 106,533.96

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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.