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Finding the Fourth Proportional to 281,399.59, 421,946.28 and 101,460.52

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Solution

The fourth proportional to 281,399.59, 421,946.28 and 101,460.52 is: 152,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,399.59 : 421,946.28 = 101,460.52 : x
  2. Step 2: Convert to fraction form
    281,399.59/421,946.28 = 101,460.52/x
  3. Step 3: Cross multiply
    281,399.59x = 421,946.28 × 101,460.52
  4. Step 4: Simplify right side
    281,399.59x = 42,810,888,980.87
  5. Step 5: Solve for x
    x = 42,810,888,980.87/281,399.59
  6. Step 6: Final answer
    x = 152,135.58

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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.