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Finding the Fourth Proportional to 189,135.32, 283,712.70 and 48,895.16

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Solution

The fourth proportional to 189,135.32, 283,712.70 and 48,895.16 is: 73,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,135.32 : 283,712.70 = 48,895.16 : x
  2. Step 2: Convert to fraction form
    189,135.32/283,712.70 = 48,895.16/x
  3. Step 3: Cross multiply
    189,135.32x = 283,712.70 × 48,895.16
  4. Step 4: Simplify right side
    189,135.32x = 13,872,177,860.53
  5. Step 5: Solve for x
    x = 13,872,177,860.53/189,135.32
  6. Step 6: Final answer
    x = 73,345.25

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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.