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Finding the Fourth Proportional to 219,782.60, 329,673.90 and 148,923.80

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Solution

The fourth proportional to 219,782.60, 329,673.90 and 148,923.80 is: 223,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,782.60 : 329,673.90 = 148,923.80 : x
  2. Step 2: Convert to fraction form
    219,782.60/329,673.90 = 148,923.80/x
  3. Step 3: Cross multiply
    219,782.60x = 329,673.90 × 148,923.80
  4. Step 4: Simplify right side
    219,782.60x = 49,096,289,948.82
  5. Step 5: Solve for x
    x = 49,096,289,948.82/219,782.60
  6. Step 6: Final answer
    x = 223,385.70

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Why These Related Problems?

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