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Finding the Fourth Proportional to 190,597, 263,025.09 and 105,714.28

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Solution

The fourth proportional to 190,597, 263,025.09 and 105,714.28 is: 145,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,597 : 263,025.09 = 105,714.28 : x
  2. Step 2: Convert to fraction form
    190,597/263,025.09 = 105,714.28/x
  3. Step 3: Cross multiply
    190,597x = 263,025.09 × 105,714.28
  4. Step 4: Simplify right side
    190,597x = 27,805,508,011.29
  5. Step 5: Solve for x
    x = 27,805,508,011.29/190,597
  6. Step 6: Final answer
    x = 145,886.39

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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.