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Finding the Fourth Proportional to 213,978.94, 295,287.32 and 118,483.58

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Solution

The fourth proportional to 213,978.94, 295,287.32 and 118,483.58 is: 163,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,978.94 : 295,287.32 = 118,483.58 : x
  2. Step 2: Convert to fraction form
    213,978.94/295,287.32 = 118,483.58/x
  3. Step 3: Cross multiply
    213,978.94x = 295,287.32 × 118,483.58
  4. Step 4: Simplify right side
    213,978.94x = 34,986,698,802.21
  5. Step 5: Solve for x
    x = 34,986,698,802.21/213,978.94
  6. Step 6: Final answer
    x = 163,505.34

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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.