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Finding the Fourth Proportional to 189,856.33, 284,784.76 and 77,536.55

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Solution

The fourth proportional to 189,856.33, 284,784.76 and 77,536.55 is: 116,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,856.33 : 284,784.76 = 77,536.55 : x
  2. Step 2: Convert to fraction form
    189,856.33/284,784.76 = 77,536.55/x
  3. Step 3: Cross multiply
    189,856.33x = 284,784.76 × 77,536.55
  4. Step 4: Simplify right side
    189,856.33x = 22,081,227,782.98
  5. Step 5: Solve for x
    x = 22,081,227,782.98/189,856.33
  6. Step 6: Final answer
    x = 116,304.93

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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.