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Finding the Fourth Proportional to 164,047.45, 229,821.95 and 164,047.45

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Solution

The fourth proportional to 164,047.45, 229,821.95 and 164,047.45 is: 229,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047.45 : 229,821.95 = 164,047.45 : x
  2. Step 2: Convert to fraction form
    164,047.45/229,821.95 = 164,047.45/x
  3. Step 3: Cross multiply
    164,047.45x = 229,821.95 × 164,047.45
  4. Step 4: Simplify right side
    164,047.45x = 37,701,704,851.53
  5. Step 5: Solve for x
    x = 37,701,704,851.53/164,047.45
  6. Step 6: Final answer
    x = 229,821.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.