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Finding the Fourth Proportional to 196,699.69, 293,929.77 and 147,693.51

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Solution

The fourth proportional to 196,699.69, 293,929.77 and 147,693.51 is: 220,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,699.69 : 293,929.77 = 147,693.51 : x
  2. Step 2: Convert to fraction form
    196,699.69/293,929.77 = 147,693.51/x
  3. Step 3: Cross multiply
    196,699.69x = 293,929.77 × 147,693.51
  4. Step 4: Simplify right side
    196,699.69x = 43,411,519,605.77
  5. Step 5: Solve for x
    x = 43,411,519,605.77/196,699.69
  6. Step 6: Final answer
    x = 220,699.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.