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Finding the Fourth Proportional to 196,063, 294,094.50 and 48,319

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Solution

The fourth proportional to 196,063, 294,094.50 and 48,319 is: 72,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,063 : 294,094.50 = 48,319 : x
  2. Step 2: Convert to fraction form
    196,063/294,094.50 = 48,319/x
  3. Step 3: Cross multiply
    196,063x = 294,094.50 × 48,319
  4. Step 4: Simplify right side
    196,063x = 14,210,352,145.50
  5. Step 5: Solve for x
    x = 14,210,352,145.50/196,063
  6. Step 6: Final answer
    x = 72,478.50

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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.