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Finding the Fourth Proportional to 189,782.86, 284,595.96 and 77,386.90

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Solution

The fourth proportional to 189,782.86, 284,595.96 and 77,386.90 is: 116,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,782.86 : 284,595.96 = 77,386.90 : x
  2. Step 2: Convert to fraction form
    189,782.86/284,595.96 = 77,386.90/x
  3. Step 3: Cross multiply
    189,782.86x = 284,595.96 × 77,386.90
  4. Step 4: Simplify right side
    189,782.86x = 22,023,999,096.92
  5. Step 5: Solve for x
    x = 22,023,999,096.92/189,782.86
  6. Step 6: Final answer
    x = 116,048.41

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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.