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Finding the Fourth Proportional to 186,223.86, 256,971.16 and 104,533.42

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Solution

The fourth proportional to 186,223.86, 256,971.16 and 104,533.42 is: 144,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,223.86 : 256,971.16 = 104,533.42 : x
  2. Step 2: Convert to fraction form
    186,223.86/256,971.16 = 104,533.42/x
  3. Step 3: Cross multiply
    186,223.86x = 256,971.16 × 104,533.42
  4. Step 4: Simplify right side
    186,223.86x = 26,862,072,388.64
  5. Step 5: Solve for x
    x = 26,862,072,388.64/186,223.86
  6. Step 6: Final answer
    x = 144,246.14

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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.