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Finding the Fourth Proportional to 219,729.60, 329,594.40 and 152,078.40

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Solution

The fourth proportional to 219,729.60, 329,594.40 and 152,078.40 is: 228,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,729.60 : 329,594.40 = 152,078.40 : x
  2. Step 2: Convert to fraction form
    219,729.60/329,594.40 = 152,078.40/x
  3. Step 3: Cross multiply
    219,729.60x = 329,594.40 × 152,078.40
  4. Step 4: Simplify right side
    219,729.60x = 50,124,189,000.96
  5. Step 5: Solve for x
    x = 50,124,189,000.96/219,729.60
  6. Step 6: Final answer
    x = 228,117.60

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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.