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Finding the Fourth Proportional to 196,045.60, 293,290.80 and 170,039.20

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Solution

The fourth proportional to 196,045.60, 293,290.80 and 170,039.20 is: 254,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,045.60 : 293,290.80 = 170,039.20 : x
  2. Step 2: Convert to fraction form
    196,045.60/293,290.80 = 170,039.20/x
  3. Step 3: Cross multiply
    196,045.60x = 293,290.80 × 170,039.20
  4. Step 4: Simplify right side
    196,045.60x = 49,870,932,999.36
  5. Step 5: Solve for x
    x = 49,870,932,999.36/196,045.60
  6. Step 6: Final answer
    x = 254,384.35

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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.