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Finding the Fourth Proportional to 342,196.64, 513,409.44 and 192,729.68

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Solution

The fourth proportional to 342,196.64, 513,409.44 and 192,729.68 is: 289,159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,196.64 : 513,409.44 = 192,729.68 : x
  2. Step 2: Convert to fraction form
    342,196.64/513,409.44 = 192,729.68/x
  3. Step 3: Cross multiply
    342,196.64x = 513,409.44 × 192,729.68
  4. Step 4: Simplify right side
    342,196.64x = 98,949,237,080.18
  5. Step 5: Solve for x
    x = 98,949,237,080.18/342,196.64
  6. Step 6: Final answer
    x = 289,159.00

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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.