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Finding the Fourth Proportional to 193,859.93, 290,492.83 and 130,445.44

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Solution

The fourth proportional to 193,859.93, 290,492.83 and 130,445.44 is: 195,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,859.93 : 290,492.83 = 130,445.44 : x
  2. Step 2: Convert to fraction form
    193,859.93/290,492.83 = 130,445.44/x
  3. Step 3: Cross multiply
    193,859.93x = 290,492.83 × 130,445.44
  4. Step 4: Simplify right side
    193,859.93x = 37,893,464,463.02
  5. Step 5: Solve for x
    x = 37,893,464,463.02/193,859.93
  6. Step 6: Final answer
    x = 195,468.26

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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.