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Finding the Fourth Proportional to 262,830.39, 362,705.88 and 141,971.68

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Solution

The fourth proportional to 262,830.39, 362,705.88 and 141,971.68 is: 195,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,830.39 : 362,705.88 = 141,971.68 : x
  2. Step 2: Convert to fraction form
    262,830.39/362,705.88 = 141,971.68/x
  3. Step 3: Cross multiply
    262,830.39x = 362,705.88 × 141,971.68
  4. Step 4: Simplify right side
    262,830.39x = 51,493,963,129.48
  5. Step 5: Solve for x
    x = 51,493,963,129.48/262,830.39
  6. Step 6: Final answer
    x = 195,920.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.