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Finding the Fourth Proportional to 216,496, 298,764.48 and 119,699.92

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Solution

The fourth proportional to 216,496, 298,764.48 and 119,699.92 is: 165,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,496 : 298,764.48 = 119,699.92 : x
  2. Step 2: Convert to fraction form
    216,496/298,764.48 = 119,699.92/x
  3. Step 3: Cross multiply
    216,496x = 298,764.48 × 119,699.92
  4. Step 4: Simplify right side
    216,496x = 35,762,084,354.84
  5. Step 5: Solve for x
    x = 35,762,084,354.84/216,496
  6. Step 6: Final answer
    x = 165,185.89

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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.