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Finding the Fourth Proportional to 214,210.41, 295,610.38 and 118,723.25

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Solution

The fourth proportional to 214,210.41, 295,610.38 and 118,723.25 is: 163,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,210.41 : 295,610.38 = 118,723.25 : x
  2. Step 2: Convert to fraction form
    214,210.41/295,610.38 = 118,723.25/x
  3. Step 3: Cross multiply
    214,210.41x = 295,610.38 × 118,723.25
  4. Step 4: Simplify right side
    214,210.41x = 35,095,825,489.55
  5. Step 5: Solve for x
    x = 35,095,825,489.55/214,210.41
  6. Step 6: Final answer
    x = 163,838.10

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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.