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Finding the Fourth Proportional to 219,830.40, 329,875.20 and 145,166.40

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Solution

The fourth proportional to 219,830.40, 329,875.20 and 145,166.40 is: 217,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,830.40 : 329,875.20 = 145,166.40 : x
  2. Step 2: Convert to fraction form
    219,830.40/329,875.20 = 145,166.40/x
  3. Step 3: Cross multiply
    219,830.40x = 329,875.20 × 145,166.40
  4. Step 4: Simplify right side
    219,830.40x = 47,886,795,233.28
  5. Step 5: Solve for x
    x = 47,886,795,233.28/219,830.40
  6. Step 6: Final answer
    x = 217,835.18

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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.