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Finding the Fourth Proportional to 186,701.76, 280,052.71 and 46,460.39

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Solution

The fourth proportional to 186,701.76, 280,052.71 and 46,460.39 is: 69,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,701.76 : 280,052.71 = 46,460.39 : x
  2. Step 2: Convert to fraction form
    186,701.76/280,052.71 = 46,460.39/x
  3. Step 3: Cross multiply
    186,701.76x = 280,052.71 × 46,460.39
  4. Step 4: Simplify right side
    186,701.76x = 13,011,356,610.74
  5. Step 5: Solve for x
    x = 13,011,356,610.74/186,701.76
  6. Step 6: Final answer
    x = 69,690.59

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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.