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Finding the Fourth Proportional to 142,896.42, 214,342.40 and 34,827.02

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Solution

The fourth proportional to 142,896.42, 214,342.40 and 34,827.02 is: 52,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,896.42 : 214,342.40 = 34,827.02 : x
  2. Step 2: Convert to fraction form
    142,896.42/214,342.40 = 34,827.02/x
  3. Step 3: Cross multiply
    142,896.42x = 214,342.40 × 34,827.02
  4. Step 4: Simplify right side
    142,896.42x = 7,464,907,051.65
  5. Step 5: Solve for x
    x = 7,464,907,051.65/142,896.42
  6. Step 6: Final answer
    x = 52,239.99

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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.