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Finding the Fourth Proportional to 118,643.64, 163,804.63 and 105,874.86

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Solution

The fourth proportional to 118,643.64, 163,804.63 and 105,874.86 is: 146,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,643.64 : 163,804.63 = 105,874.86 : x
  2. Step 2: Convert to fraction form
    118,643.64/163,804.63 = 105,874.86/x
  3. Step 3: Cross multiply
    118,643.64x = 163,804.63 × 105,874.86
  4. Step 4: Simplify right side
    118,643.64x = 17,342,793,015.21
  5. Step 5: Solve for x
    x = 17,342,793,015.21/118,643.64
  6. Step 6: Final answer
    x = 146,175.50

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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.