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Finding the Fourth Proportional to 189,130.34, 283,760.32 and 64,558.82

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Solution

The fourth proportional to 189,130.34, 283,760.32 and 64,558.82 is: 96,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,130.34 : 283,760.32 = 64,558.82 : x
  2. Step 2: Convert to fraction form
    189,130.34/283,760.32 = 64,558.82/x
  3. Step 3: Cross multiply
    189,130.34x = 283,760.32 × 64,558.82
  4. Step 4: Simplify right side
    189,130.34x = 18,319,231,422.02
  5. Step 5: Solve for x
    x = 18,319,231,422.02/189,130.34
  6. Step 6: Final answer
    x = 96,860.35

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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.