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Finding the Fourth Proportional to 196,294.55, 270,866.14 and 110,263.19

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Solution

The fourth proportional to 196,294.55, 270,866.14 and 110,263.19 is: 152,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,294.55 : 270,866.14 = 110,263.19 : x
  2. Step 2: Convert to fraction form
    196,294.55/270,866.14 = 110,263.19/x
  3. Step 3: Cross multiply
    196,294.55x = 270,866.14 × 110,263.19
  4. Step 4: Simplify right side
    196,294.55x = 29,866,564,108.07
  5. Step 5: Solve for x
    x = 29,866,564,108.07/196,294.55
  6. Step 6: Final answer
    x = 152,151.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.