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Finding the Fourth Proportional to 282,076.44, 423,023.94 and 148,880.04

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Solution

The fourth proportional to 282,076.44, 423,023.94 and 148,880.04 is: 223,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,076.44 : 423,023.94 = 148,880.04 : x
  2. Step 2: Convert to fraction form
    282,076.44/423,023.94 = 148,880.04/x
  3. Step 3: Cross multiply
    282,076.44x = 423,023.94 × 148,880.04
  4. Step 4: Simplify right side
    282,076.44x = 62,979,821,108.16
  5. Step 5: Solve for x
    x = 62,979,821,108.16/282,076.44
  6. Step 6: Final answer
    x = 223,272.18

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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.