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Finding the Fourth Proportional to 357,130.10, 492,845.64 and 196,000.13

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Solution

The fourth proportional to 357,130.10, 492,845.64 and 196,000.13 is: 270,483.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,130.10 : 492,845.64 = 196,000.13 : x
  2. Step 2: Convert to fraction form
    357,130.10/492,845.64 = 196,000.13/x
  3. Step 3: Cross multiply
    357,130.10x = 492,845.64 × 196,000.13
  4. Step 4: Simplify right side
    357,130.10x = 96,597,809,509.93
  5. Step 5: Solve for x
    x = 96,597,809,509.93/357,130.10
  6. Step 6: Final answer
    x = 270,483.53

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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.