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Finding the Fourth Proportional to 219,823.92, 303,357 and 119,221.92

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Solution

The fourth proportional to 219,823.92, 303,357 and 119,221.92 is: 164,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,823.92 : 303,357 = 119,221.92 : x
  2. Step 2: Convert to fraction form
    219,823.92/303,357 = 119,221.92/x
  3. Step 3: Cross multiply
    219,823.92x = 303,357 × 119,221.92
  4. Step 4: Simplify right side
    219,823.92x = 36,166,803,985.44
  5. Step 5: Solve for x
    x = 36,166,803,985.44/219,823.92
  6. Step 6: Final answer
    x = 164,526.24

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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.