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Finding the Fourth Proportional to 153,245.50, 230,081.46 and 78,417.28

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Solution

The fourth proportional to 153,245.50, 230,081.46 and 78,417.28 is: 117,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,245.50 : 230,081.46 = 78,417.28 : x
  2. Step 2: Convert to fraction form
    153,245.50/230,081.46 = 78,417.28/x
  3. Step 3: Cross multiply
    153,245.50x = 230,081.46 × 78,417.28
  4. Step 4: Simplify right side
    153,245.50x = 18,042,362,271.63
  5. Step 5: Solve for x
    x = 18,042,362,271.63/153,245.50
  6. Step 6: Final answer
    x = 117,735.02

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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.