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Finding the Fourth Proportional to 213,951.76, 295,253.29 and 118,464.50

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Solution

The fourth proportional to 213,951.76, 295,253.29 and 118,464.50 is: 163,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,951.76 : 295,253.29 = 118,464.50 : x
  2. Step 2: Convert to fraction form
    213,951.76/295,253.29 = 118,464.50/x
  3. Step 3: Cross multiply
    213,951.76x = 295,253.29 × 118,464.50
  4. Step 4: Simplify right side
    213,951.76x = 34,977,033,373.21
  5. Step 5: Solve for x
    x = 34,977,033,373.21/213,951.76
  6. Step 6: Final answer
    x = 163,480.93

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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.