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Finding the Fourth Proportional to 189,775.58, 284,653.62 and 56,656.94

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Solution

The fourth proportional to 189,775.58, 284,653.62 and 56,656.94 is: 84,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,775.58 : 284,653.62 = 56,656.94 : x
  2. Step 2: Convert to fraction form
    189,775.58/284,653.62 = 56,656.94/x
  3. Step 3: Cross multiply
    189,775.58x = 284,653.62 × 56,656.94
  4. Step 4: Simplify right side
    189,775.58x = 16,127,603,069.12
  5. Step 5: Solve for x
    x = 16,127,603,069.12/189,775.58
  6. Step 6: Final answer
    x = 84,982.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.