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Finding the Fourth Proportional to 189,415.82, 284,289.84 and 77,095.68

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Solution

The fourth proportional to 189,415.82, 284,289.84 and 77,095.68 is: 115,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,415.82 : 284,289.84 = 77,095.68 : x
  2. Step 2: Convert to fraction form
    189,415.82/284,289.84 = 77,095.68/x
  3. Step 3: Cross multiply
    189,415.82x = 284,289.84 × 77,095.68
  4. Step 4: Simplify right side
    189,415.82x = 21,917,518,531.89
  5. Step 5: Solve for x
    x = 21,917,518,531.89/189,415.82
  6. Step 6: Final answer
    x = 115,711.13

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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.