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Finding the Fourth Proportional to 147,664, 221,497.62 and 36,856

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Solution

The fourth proportional to 147,664, 221,497.62 and 36,856 is: 55,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,664 : 221,497.62 = 36,856 : x
  2. Step 2: Convert to fraction form
    147,664/221,497.62 = 36,856/x
  3. Step 3: Cross multiply
    147,664x = 221,497.62 × 36,856
  4. Step 4: Simplify right side
    147,664x = 8,163,516,282.72
  5. Step 5: Solve for x
    x = 8,163,516,282.72/147,664
  6. Step 6: Final answer
    x = 55,284.40

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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.