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Finding the Fourth Proportional to 270,894.42, 406,368.36 and 93,378.06

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Solution

The fourth proportional to 270,894.42, 406,368.36 and 93,378.06 is: 140,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,894.42 : 406,368.36 = 93,378.06 : x
  2. Step 2: Convert to fraction form
    270,894.42/406,368.36 = 93,378.06/x
  3. Step 3: Cross multiply
    270,894.42x = 406,368.36 × 93,378.06
  4. Step 4: Simplify right side
    270,894.42x = 37,945,889,102.18
  5. Step 5: Solve for x
    x = 37,945,889,102.18/270,894.42
  6. Step 6: Final answer
    x = 140,076.30

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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.