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Finding the Fourth Proportional to 137,023.38, 189,088.29 and 76,594.14

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Solution

The fourth proportional to 137,023.38, 189,088.29 and 76,594.14 is: 105,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,023.38 : 189,088.29 = 76,594.14 : x
  2. Step 2: Convert to fraction form
    137,023.38/189,088.29 = 76,594.14/x
  3. Step 3: Cross multiply
    137,023.38x = 189,088.29 × 76,594.14
  4. Step 4: Simplify right side
    137,023.38x = 14,483,054,956.62
  5. Step 5: Solve for x
    x = 14,483,054,956.62/137,023.38
  6. Step 6: Final answer
    x = 105,697.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.