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Finding the Fourth Proportional to 111,303, 166,954.50 and 37,431

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Solution

The fourth proportional to 111,303, 166,954.50 and 37,431 is: 56,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,303 : 166,954.50 = 37,431 : x
  2. Step 2: Convert to fraction form
    111,303/166,954.50 = 37,431/x
  3. Step 3: Cross multiply
    111,303x = 166,954.50 × 37,431
  4. Step 4: Simplify right side
    111,303x = 6,249,273,889.50
  5. Step 5: Solve for x
    x = 6,249,273,889.50/111,303
  6. Step 6: Final answer
    x = 56,146.50

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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.