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Finding the Fourth Proportional to 142,095.47, 213,064.83 and 57,834

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Solution

The fourth proportional to 142,095.47, 213,064.83 and 57,834 is: 86,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,095.47 : 213,064.83 = 57,834 : x
  2. Step 2: Convert to fraction form
    142,095.47/213,064.83 = 57,834/x
  3. Step 3: Cross multiply
    142,095.47x = 213,064.83 × 57,834
  4. Step 4: Simplify right side
    142,095.47x = 12,322,391,378.22
  5. Step 5: Solve for x
    x = 12,322,391,378.22/142,095.47
  6. Step 6: Final answer
    x = 86,719.10

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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.