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Finding the Fourth Proportional to 191,668.30, 264,502.54 and 106,788.34

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Solution

The fourth proportional to 191,668.30, 264,502.54 and 106,788.34 is: 147,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,668.30 : 264,502.54 = 106,788.34 : x
  2. Step 2: Convert to fraction form
    191,668.30/264,502.54 = 106,788.34/x
  3. Step 3: Cross multiply
    191,668.30x = 264,502.54 × 106,788.34
  4. Step 4: Simplify right side
    191,668.30x = 28,245,787,172.38
  5. Step 5: Solve for x
    x = 28,245,787,172.38/191,668.30
  6. Step 6: Final answer
    x = 147,368.07

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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.