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Finding the Fourth Proportional to 196,619, 294,929.58 and 48,875

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Solution

The fourth proportional to 196,619, 294,929.58 and 48,875 is: 73,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,619 : 294,929.58 = 48,875 : x
  2. Step 2: Convert to fraction form
    196,619/294,929.58 = 48,875/x
  3. Step 3: Cross multiply
    196,619x = 294,929.58 × 48,875
  4. Step 4: Simplify right side
    196,619x = 14,414,683,222.50
  5. Step 5: Solve for x
    x = 14,414,683,222.50/196,619
  6. Step 6: Final answer
    x = 73,312.77

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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.