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Finding the Fourth Proportional to 243,368.54, 364,164.69 and 143,576.54

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Solution

The fourth proportional to 243,368.54, 364,164.69 and 143,576.54 is: 214,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,368.54 : 364,164.69 = 143,576.54 : x
  2. Step 2: Convert to fraction form
    243,368.54/364,164.69 = 143,576.54/x
  3. Step 3: Cross multiply
    243,368.54x = 364,164.69 × 143,576.54
  4. Step 4: Simplify right side
    243,368.54x = 52,285,506,180.37
  5. Step 5: Solve for x
    x = 52,285,506,180.37/243,368.54
  6. Step 6: Final answer
    x = 214,840.86

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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.