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Finding the Fourth Proportional to 189,501.30, 284,202.45 and 56,345.70

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Solution

The fourth proportional to 189,501.30, 284,202.45 and 56,345.70 is: 84,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,501.30 : 284,202.45 = 56,345.70 : x
  2. Step 2: Convert to fraction form
    189,501.30/284,202.45 = 56,345.70/x
  3. Step 3: Cross multiply
    189,501.30x = 284,202.45 × 56,345.70
  4. Step 4: Simplify right side
    189,501.30x = 16,013,585,986.97
  5. Step 5: Solve for x
    x = 16,013,585,986.97/189,501.30
  6. Step 6: Final answer
    x = 84,503.83

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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.