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Finding the Fourth Proportional to 186,004.36, 256,710.90 and 119,130.76

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Solution

The fourth proportional to 186,004.36, 256,710.90 and 119,130.76 is: 164,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,004.36 : 256,710.90 = 119,130.76 : x
  2. Step 2: Convert to fraction form
    186,004.36/256,710.90 = 119,130.76/x
  3. Step 3: Cross multiply
    186,004.36x = 256,710.90 × 119,130.76
  4. Step 4: Simplify right side
    186,004.36x = 30,582,164,617.28
  5. Step 5: Solve for x
    x = 30,582,164,617.28/186,004.36
  6. Step 6: Final answer
    x = 164,416.39

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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.