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Finding the Fourth Proportional to 196,098.16, 294,088.80 and 71,410

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Solution

The fourth proportional to 196,098.16, 294,088.80 and 71,410 is: 107,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,098.16 : 294,088.80 = 71,410 : x
  2. Step 2: Convert to fraction form
    196,098.16/294,088.80 = 71,410/x
  3. Step 3: Cross multiply
    196,098.16x = 294,088.80 × 71,410
  4. Step 4: Simplify right side
    196,098.16x = 21,000,881,208
  5. Step 5: Solve for x
    x = 21,000,881,208/196,098.16
  6. Step 6: Final answer
    x = 107,093.72

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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.