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Finding the Fourth Proportional to 142,866.53, 214,301.42 and 54,095.93

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Solution

The fourth proportional to 142,866.53, 214,301.42 and 54,095.93 is: 81,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,866.53 : 214,301.42 = 54,095.93 : x
  2. Step 2: Convert to fraction form
    142,866.53/214,301.42 = 54,095.93/x
  3. Step 3: Cross multiply
    142,866.53x = 214,301.42 × 54,095.93
  4. Step 4: Simplify right side
    142,866.53x = 11,592,834,615.22
  5. Step 5: Solve for x
    x = 11,592,834,615.22/142,866.53
  6. Step 6: Final answer
    x = 81,144.51

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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.