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Finding the Fourth Proportional to 196,995, 295,492.50 and 49,251

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Solution

The fourth proportional to 196,995, 295,492.50 and 49,251 is: 73,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,995 : 295,492.50 = 49,251 : x
  2. Step 2: Convert to fraction form
    196,995/295,492.50 = 49,251/x
  3. Step 3: Cross multiply
    196,995x = 295,492.50 × 49,251
  4. Step 4: Simplify right side
    196,995x = 14,553,301,117.50
  5. Step 5: Solve for x
    x = 14,553,301,117.50/196,995
  6. Step 6: Final answer
    x = 73,876.50

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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.