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Finding the Fourth Proportional to 281,047.76, 421,737.60 and 103,678.64

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Solution

The fourth proportional to 281,047.76, 421,737.60 and 103,678.64 is: 155,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,047.76 : 421,737.60 = 103,678.64 : x
  2. Step 2: Convert to fraction form
    281,047.76/421,737.60 = 103,678.64/x
  3. Step 3: Cross multiply
    281,047.76x = 421,737.60 × 103,678.64
  4. Step 4: Simplify right side
    281,047.76x = 43,725,180,804.86
  5. Step 5: Solve for x
    x = 43,725,180,804.86/281,047.76
  6. Step 6: Final answer
    x = 155,579.18

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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.