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Finding the Fourth Proportional to 186,531.84, 257,511.36 and 145,046.88

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Solution

The fourth proportional to 186,531.84, 257,511.36 and 145,046.88 is: 200,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,531.84 : 257,511.36 = 145,046.88 : x
  2. Step 2: Convert to fraction form
    186,531.84/257,511.36 = 145,046.88/x
  3. Step 3: Cross multiply
    186,531.84x = 257,511.36 × 145,046.88
  4. Step 4: Simplify right side
    186,531.84x = 37,351,219,332.56
  5. Step 5: Solve for x
    x = 37,351,219,332.56/186,531.84
  6. Step 6: Final answer
    x = 200,240.45

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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.