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Finding the Fourth Proportional to 191,188.88, 263,840.04 and 106,306

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Solution

The fourth proportional to 191,188.88, 263,840.04 and 106,306 is: 146,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,188.88 : 263,840.04 = 106,306 : x
  2. Step 2: Convert to fraction form
    191,188.88/263,840.04 = 106,306/x
  3. Step 3: Cross multiply
    191,188.88x = 263,840.04 × 106,306
  4. Step 4: Simplify right side
    191,188.88x = 28,047,779,292.24
  5. Step 5: Solve for x
    x = 28,047,779,292.24/191,188.88
  6. Step 6: Final answer
    x = 146,701.94

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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.