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Finding the Fourth Proportional to 191,786, 264,668.16 and 106,893.95

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Solution

The fourth proportional to 191,786, 264,668.16 and 106,893.95 is: 147,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,786 : 264,668.16 = 106,893.95 : x
  2. Step 2: Convert to fraction form
    191,786/264,668.16 = 106,893.95/x
  3. Step 3: Cross multiply
    191,786x = 264,668.16 × 106,893.95
  4. Step 4: Simplify right side
    191,786x = 28,291,425,061.63
  5. Step 5: Solve for x
    x = 28,291,425,061.63/191,786
  6. Step 6: Final answer
    x = 147,515.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.