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Finding the Fourth Proportional to 189,922.34, 284,883.50 and 77,602.44

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Solution

The fourth proportional to 189,922.34, 284,883.50 and 77,602.44 is: 116,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,922.34 : 284,883.50 = 77,602.44 : x
  2. Step 2: Convert to fraction form
    189,922.34/284,883.50 = 77,602.44/x
  3. Step 3: Cross multiply
    189,922.34x = 284,883.50 × 77,602.44
  4. Step 4: Simplify right side
    189,922.34x = 22,107,655,541.55
  5. Step 5: Solve for x
    x = 22,107,655,541.55/189,922.34
  6. Step 6: Final answer
    x = 116,403.66

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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.