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Finding the Fourth Proportional to 186,951, 280,427.10 and 46,709.64

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Solution

The fourth proportional to 186,951, 280,427.10 and 46,709.64 is: 70,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,951 : 280,427.10 = 46,709.64 : x
  2. Step 2: Convert to fraction form
    186,951/280,427.10 = 46,709.64/x
  3. Step 3: Cross multiply
    186,951x = 280,427.10 × 46,709.64
  4. Step 4: Simplify right side
    186,951x = 13,098,648,887.24
  5. Step 5: Solve for x
    x = 13,098,648,887.24/186,951
  6. Step 6: Final answer
    x = 70,064.61

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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.