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Finding the Fourth Proportional to 186,710.36, 280,065.02 and 46,469

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Solution

The fourth proportional to 186,710.36, 280,065.02 and 46,469 is: 69,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,710.36 : 280,065.02 = 46,469 : x
  2. Step 2: Convert to fraction form
    186,710.36/280,065.02 = 46,469/x
  3. Step 3: Cross multiply
    186,710.36x = 280,065.02 × 46,469
  4. Step 4: Simplify right side
    186,710.36x = 13,014,341,414.38
  5. Step 5: Solve for x
    x = 13,014,341,414.38/186,710.36
  6. Step 6: Final answer
    x = 69,703.37

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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.