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Finding the Fourth Proportional to 186,953, 280,430.10 and 46,711.64

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Solution

The fourth proportional to 186,953, 280,430.10 and 46,711.64 is: 70,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,953 : 280,430.10 = 46,711.64 : x
  2. Step 2: Convert to fraction form
    186,953/280,430.10 = 46,711.64/x
  3. Step 3: Cross multiply
    186,953x = 280,430.10 × 46,711.64
  4. Step 4: Simplify right side
    186,953x = 13,099,349,876.36
  5. Step 5: Solve for x
    x = 13,099,349,876.36/186,953
  6. Step 6: Final answer
    x = 70,067.61

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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.