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Finding the Fourth Proportional to 281,202.90, 421,804.35 and 94,214.40

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Solution

The fourth proportional to 281,202.90, 421,804.35 and 94,214.40 is: 141,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,202.90 : 421,804.35 = 94,214.40 : x
  2. Step 2: Convert to fraction form
    281,202.90/421,804.35 = 94,214.40/x
  3. Step 3: Cross multiply
    281,202.90x = 421,804.35 × 94,214.40
  4. Step 4: Simplify right side
    281,202.90x = 39,740,043,752.64
  5. Step 5: Solve for x
    x = 39,740,043,752.64/281,202.90
  6. Step 6: Final answer
    x = 141,321.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.