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Finding the Fourth Proportional to 186,384.50, 257,234.92 and 110,933

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Solution

The fourth proportional to 186,384.50, 257,234.92 and 110,933 is: 153,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,384.50 : 257,234.92 = 110,933 : x
  2. Step 2: Convert to fraction form
    186,384.50/257,234.92 = 110,933/x
  3. Step 3: Cross multiply
    186,384.50x = 257,234.92 × 110,933
  4. Step 4: Simplify right side
    186,384.50x = 28,535,841,380.36
  5. Step 5: Solve for x
    x = 28,535,841,380.36/186,384.50
  6. Step 6: Final answer
    x = 153,102.01

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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.