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Finding the Fourth Proportional to 186,096.48, 256,823.64 and 101,211.84

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Solution

The fourth proportional to 186,096.48, 256,823.64 and 101,211.84 is: 139,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,096.48 : 256,823.64 = 101,211.84 : x
  2. Step 2: Convert to fraction form
    186,096.48/256,823.64 = 101,211.84/x
  3. Step 3: Cross multiply
    186,096.48x = 256,823.64 × 101,211.84
  4. Step 4: Simplify right side
    186,096.48x = 25,993,593,159.90
  5. Step 5: Solve for x
    x = 25,993,593,159.90/186,096.48
  6. Step 6: Final answer
    x = 139,678.05

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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.