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Finding the Fourth Proportional to 462,135, 693,202.50 and 166,647

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Solution

The fourth proportional to 462,135, 693,202.50 and 166,647 is: 249,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,135 : 693,202.50 = 166,647 : x
  2. Step 2: Convert to fraction form
    462,135/693,202.50 = 166,647/x
  3. Step 3: Cross multiply
    462,135x = 693,202.50 × 166,647
  4. Step 4: Simplify right side
    462,135x = 115,520,117,017.50
  5. Step 5: Solve for x
    x = 115,520,117,017.50/462,135
  6. Step 6: Final answer
    x = 249,970.50

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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.