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Finding the Fourth Proportional to 194,098.88, 290,902.56 and 94,281.92

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Solution

The fourth proportional to 194,098.88, 290,902.56 and 94,281.92 is: 141,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,098.88 : 290,902.56 = 94,281.92 : x
  2. Step 2: Convert to fraction form
    194,098.88/290,902.56 = 94,281.92/x
  3. Step 3: Cross multiply
    194,098.88x = 290,902.56 × 94,281.92
  4. Step 4: Simplify right side
    194,098.88x = 27,426,851,889.72
  5. Step 5: Solve for x
    x = 27,426,851,889.72/194,098.88
  6. Step 6: Final answer
    x = 141,303.50

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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.