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Finding the Fourth Proportional to 190,597.50, 263,025.78 and 105,714.78

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Solution

The fourth proportional to 190,597.50, 263,025.78 and 105,714.78 is: 145,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,597.50 : 263,025.78 = 105,714.78 : x
  2. Step 2: Convert to fraction form
    190,597.50/263,025.78 = 105,714.78/x
  3. Step 3: Cross multiply
    190,597.50x = 263,025.78 × 105,714.78
  4. Step 4: Simplify right side
    190,597.50x = 27,805,712,467.03
  5. Step 5: Solve for x
    x = 27,805,712,467.03/190,597.50
  6. Step 6: Final answer
    x = 145,887.08

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1.5x scale

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.