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Finding the Fourth Proportional to 119,186.40, 178,779.60 and 49,029.60

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Solution

The fourth proportional to 119,186.40, 178,779.60 and 49,029.60 is: 73,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,186.40 : 178,779.60 = 49,029.60 : x
  2. Step 2: Convert to fraction form
    119,186.40/178,779.60 = 49,029.60/x
  3. Step 3: Cross multiply
    119,186.40x = 178,779.60 × 49,029.60
  4. Step 4: Simplify right side
    119,186.40x = 8,765,492,276.16
  5. Step 5: Solve for x
    x = 8,765,492,276.16/119,186.40
  6. Step 6: Final answer
    x = 73,544.40

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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.