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Finding the Fourth Proportional to 186,096, 256,703.04 and 110,640

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Solution

The fourth proportional to 186,096, 256,703.04 and 110,640 is: 152,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,096 : 256,703.04 = 110,640 : x
  2. Step 2: Convert to fraction form
    186,096/256,703.04 = 110,640/x
  3. Step 3: Cross multiply
    186,096x = 256,703.04 × 110,640
  4. Step 4: Simplify right side
    186,096x = 28,401,624,345.60
  5. Step 5: Solve for x
    x = 28,401,624,345.60/186,096
  6. Step 6: Final answer
    x = 152,618.13

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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.