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Finding the Fourth Proportional to 213,993.16, 295,281.60 and 118,497.40

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Solution

The fourth proportional to 213,993.16, 295,281.60 and 118,497.40 is: 163,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,993.16 : 295,281.60 = 118,497.40 : x
  2. Step 2: Convert to fraction form
    213,993.16/295,281.60 = 118,497.40/x
  3. Step 3: Cross multiply
    213,993.16x = 295,281.60 × 118,497.40
  4. Step 4: Simplify right side
    213,993.16x = 34,990,101,867.84
  5. Step 5: Solve for x
    x = 34,990,101,867.84/213,993.16
  6. Step 6: Final answer
    x = 163,510.38

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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.