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Finding the Fourth Proportional to 190,030.32, 262,249.56 and 105,146

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Solution

The fourth proportional to 190,030.32, 262,249.56 and 105,146 is: 145,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,030.32 : 262,249.56 = 105,146 : x
  2. Step 2: Convert to fraction form
    190,030.32/262,249.56 = 105,146/x
  3. Step 3: Cross multiply
    190,030.32x = 262,249.56 × 105,146
  4. Step 4: Simplify right side
    190,030.32x = 27,574,492,235.76
  5. Step 5: Solve for x
    x = 27,574,492,235.76/190,030.32
  6. Step 6: Final answer
    x = 145,105.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.