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Finding the Fourth Proportional to 190,931, 263,484.80 and 106,055.96

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Solution

The fourth proportional to 190,931, 263,484.80 and 106,055.96 is: 146,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,931 : 263,484.80 = 106,055.96 : x
  2. Step 2: Convert to fraction form
    190,931/263,484.80 = 106,055.96/x
  3. Step 3: Cross multiply
    190,931x = 263,484.80 × 106,055.96
  4. Step 4: Simplify right side
    190,931x = 27,944,133,409.41
  5. Step 5: Solve for x
    x = 27,944,133,409.41/190,931
  6. Step 6: Final answer
    x = 146,357.24

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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.