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Finding the Fourth Proportional to 189,130.34, 283,696.43 and 56,013.13

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Solution

The fourth proportional to 189,130.34, 283,696.43 and 56,013.13 is: 84,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,130.34 : 283,696.43 = 56,013.13 : x
  2. Step 2: Convert to fraction form
    189,130.34/283,696.43 = 56,013.13/x
  3. Step 3: Cross multiply
    189,130.34x = 283,696.43 × 56,013.13
  4. Step 4: Simplify right side
    189,130.34x = 15,890,723,315.58
  5. Step 5: Solve for x
    x = 15,890,723,315.58/189,130.34
  6. Step 6: Final answer
    x = 84,019.96

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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.