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Finding the Fourth Proportional to 196,531, 294,798.44 and 48,787

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Solution

The fourth proportional to 196,531, 294,798.44 and 48,787 is: 73,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,531 : 294,798.44 = 48,787 : x
  2. Step 2: Convert to fraction form
    196,531/294,798.44 = 48,787/x
  3. Step 3: Cross multiply
    196,531x = 294,798.44 × 48,787
  4. Step 4: Simplify right side
    196,531x = 14,382,331,492.28
  5. Step 5: Solve for x
    x = 14,382,331,492.28/196,531
  6. Step 6: Final answer
    x = 73,180.98

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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.