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Finding the Fourth Proportional to 196,352.64, 270,967.68 and 114,728.40

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Solution

The fourth proportional to 196,352.64, 270,967.68 and 114,728.40 is: 158,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,352.64 : 270,967.68 = 114,728.40 : x
  2. Step 2: Convert to fraction form
    196,352.64/270,967.68 = 114,728.40/x
  3. Step 3: Cross multiply
    196,352.64x = 270,967.68 × 114,728.40
  4. Step 4: Simplify right side
    196,352.64x = 31,087,688,378.11
  5. Step 5: Solve for x
    x = 31,087,688,378.11/196,352.64
  6. Step 6: Final answer
    x = 158,325.80

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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.