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Finding the Fourth Proportional to 193,101.60, 289,652.40 and 146,445.60

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Solution

The fourth proportional to 193,101.60, 289,652.40 and 146,445.60 is: 219,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,101.60 : 289,652.40 = 146,445.60 : x
  2. Step 2: Convert to fraction form
    193,101.60/289,652.40 = 146,445.60/x
  3. Step 3: Cross multiply
    193,101.60x = 289,652.40 × 146,445.60
  4. Step 4: Simplify right side
    193,101.60x = 42,418,319,509.44
  5. Step 5: Solve for x
    x = 42,418,319,509.44/193,101.60
  6. Step 6: Final answer
    x = 219,668.40

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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.