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Finding the Fourth Proportional to 213,954, 295,258.53 and 118,462.74

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Solution

The fourth proportional to 213,954, 295,258.53 and 118,462.74 is: 163,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,954 : 295,258.53 = 118,462.74 : x
  2. Step 2: Convert to fraction form
    213,954/295,258.53 = 118,462.74/x
  3. Step 3: Cross multiply
    213,954x = 295,258.53 × 118,462.74
  4. Step 4: Simplify right side
    213,954x = 34,977,134,472.17
  5. Step 5: Solve for x
    x = 34,977,134,472.17/213,954
  6. Step 6: Final answer
    x = 163,479.69

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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.