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Finding the Fourth Proportional to 116,140.89, 174,219.44 and 46,020

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Solution

The fourth proportional to 116,140.89, 174,219.44 and 46,020 is: 69,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,140.89 : 174,219.44 = 46,020 : x
  2. Step 2: Convert to fraction form
    116,140.89/174,219.44 = 46,020/x
  3. Step 3: Cross multiply
    116,140.89x = 174,219.44 × 46,020
  4. Step 4: Simplify right side
    116,140.89x = 8,017,578,628.80
  5. Step 5: Solve for x
    x = 8,017,578,628.80/116,140.89
  6. Step 6: Final answer
    x = 69,033.21

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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.