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Finding the Fourth Proportional to 186,950, 280,425.60 and 46,708.64

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Solution

The fourth proportional to 186,950, 280,425.60 and 46,708.64 is: 70,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,950 : 280,425.60 = 46,708.64 : x
  2. Step 2: Convert to fraction form
    186,950/280,425.60 = 46,708.64/x
  3. Step 3: Cross multiply
    186,950x = 280,425.60 × 46,708.64
  4. Step 4: Simplify right side
    186,950x = 13,098,298,397.18
  5. Step 5: Solve for x
    x = 13,098,298,397.18/186,950
  6. Step 6: Final answer
    x = 70,063.11

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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.