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Finding the Fourth Proportional to 186,534.72, 257,344.16 and 122,903.36

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Solution

The fourth proportional to 186,534.72, 257,344.16 and 122,903.36 is: 169,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,534.72 : 257,344.16 = 122,903.36 : x
  2. Step 2: Convert to fraction form
    186,534.72/257,344.16 = 122,903.36/x
  3. Step 3: Cross multiply
    186,534.72x = 257,344.16 × 122,903.36
  4. Step 4: Simplify right side
    186,534.72x = 31,628,461,940.38
  5. Step 5: Solve for x
    x = 31,628,461,940.38/186,534.72
  6. Step 6: Final answer
    x = 169,558.04

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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.