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Finding the Fourth Proportional to 286,260.94, 429,391.41 and 108,725.95

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Solution

The fourth proportional to 286,260.94, 429,391.41 and 108,725.95 is: 163,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,260.94 : 429,391.41 = 108,725.95 : x
  2. Step 2: Convert to fraction form
    286,260.94/429,391.41 = 108,725.95/x
  3. Step 3: Cross multiply
    286,260.94x = 429,391.41 × 108,725.95
  4. Step 4: Simplify right side
    286,260.94x = 46,685,988,974.09
  5. Step 5: Solve for x
    x = 46,685,988,974.09/286,260.94
  6. Step 6: Final answer
    x = 163,088.93

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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.