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Finding the Fourth Proportional to 189,288.47, 283,871.27 and 62,894.77

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Solution

The fourth proportional to 189,288.47, 283,871.27 and 62,894.77 is: 94,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,288.47 : 283,871.27 = 62,894.77 : x
  2. Step 2: Convert to fraction form
    189,288.47/283,871.27 = 62,894.77/x
  3. Step 3: Cross multiply
    189,288.47x = 283,871.27 × 62,894.77
  4. Step 4: Simplify right side
    189,288.47x = 17,854,018,079.02
  5. Step 5: Solve for x
    x = 17,854,018,079.02/189,288.47
  6. Step 6: Final answer
    x = 94,321.74

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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.