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Finding the Fourth Proportional to 219,753.84, 329,289.75 and 152,417.34

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Solution

The fourth proportional to 219,753.84, 329,289.75 and 152,417.34 is: 228,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,753.84 : 329,289.75 = 152,417.34 : x
  2. Step 2: Convert to fraction form
    219,753.84/329,289.75 = 152,417.34/x
  3. Step 3: Cross multiply
    219,753.84x = 329,289.75 × 152,417.34
  4. Step 4: Simplify right side
    219,753.84x = 50,189,467,784.27
  5. Step 5: Solve for x
    x = 50,189,467,784.27/219,753.84
  6. Step 6: Final answer
    x = 228,389.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.