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Finding the Fourth Proportional to 286,265.94, 429,398.91 and 108,730.95

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Solution

The fourth proportional to 286,265.94, 429,398.91 and 108,730.95 is: 163,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,265.94 : 429,398.91 = 108,730.95 : x
  2. Step 2: Convert to fraction form
    286,265.94/429,398.91 = 108,730.95/x
  3. Step 3: Cross multiply
    286,265.94x = 429,398.91 × 108,730.95
  4. Step 4: Simplify right side
    286,265.94x = 46,688,951,413.26
  5. Step 5: Solve for x
    x = 46,688,951,413.26/286,265.94
  6. Step 6: Final answer
    x = 163,096.43

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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.