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Finding the Fourth Proportional to 189,117.64, 283,717.97 and 56,008.32

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Solution

The fourth proportional to 189,117.64, 283,717.97 and 56,008.32 is: 84,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,117.64 : 283,717.97 = 56,008.32 : x
  2. Step 2: Convert to fraction form
    189,117.64/283,717.97 = 56,008.32/x
  3. Step 3: Cross multiply
    189,117.64x = 283,717.97 × 56,008.32
  4. Step 4: Simplify right side
    189,117.64x = 15,890,566,853.51
  5. Step 5: Solve for x
    x = 15,890,566,853.51/189,117.64
  6. Step 6: Final answer
    x = 84,024.77

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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.