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Finding the Fourth Proportional to 196,510.66, 294,828.31 and 70,148.13

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Solution

The fourth proportional to 196,510.66, 294,828.31 and 70,148.13 is: 105,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,510.66 : 294,828.31 = 70,148.13 : x
  2. Step 2: Convert to fraction form
    196,510.66/294,828.31 = 70,148.13/x
  3. Step 3: Cross multiply
    196,510.66x = 294,828.31 × 70,148.13
  4. Step 4: Simplify right side
    196,510.66x = 20,681,653,205.06
  5. Step 5: Solve for x
    x = 20,681,653,205.06/196,510.66
  6. Step 6: Final answer
    x = 105,244.44

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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.