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Finding the Fourth Proportional to 186,427.68, 257,440.32 and 119,476.32

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Solution

The fourth proportional to 186,427.68, 257,440.32 and 119,476.32 is: 164,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,427.68 : 257,440.32 = 119,476.32 : x
  2. Step 2: Convert to fraction form
    186,427.68/257,440.32 = 119,476.32/x
  3. Step 3: Cross multiply
    186,427.68x = 257,440.32 × 119,476.32
  4. Step 4: Simplify right side
    186,427.68x = 30,758,022,053.22
  5. Step 5: Solve for x
    x = 30,758,022,053.22/186,427.68
  6. Step 6: Final answer
    x = 164,986.35

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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.