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Finding the Fourth Proportional to 189,210.52, 283,807.50 and 47,052.82

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Solution

The fourth proportional to 189,210.52, 283,807.50 and 47,052.82 is: 70,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,210.52 : 283,807.50 = 47,052.82 : x
  2. Step 2: Convert to fraction form
    189,210.52/283,807.50 = 47,052.82/x
  3. Step 3: Cross multiply
    189,210.52x = 283,807.50 × 47,052.82
  4. Step 4: Simplify right side
    189,210.52x = 13,353,943,212.15
  5. Step 5: Solve for x
    x = 13,353,943,212.15/189,210.52
  6. Step 6: Final answer
    x = 70,577.17

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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.