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Finding the Fourth Proportional to 186,527.84, 257,505.84 and 145,042.88

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Solution

The fourth proportional to 186,527.84, 257,505.84 and 145,042.88 is: 200,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,527.84 : 257,505.84 = 145,042.88 : x
  2. Step 2: Convert to fraction form
    186,527.84/257,505.84 = 145,042.88/x
  3. Step 3: Cross multiply
    186,527.84x = 257,505.84 × 145,042.88
  4. Step 4: Simplify right side
    186,527.84x = 37,349,388,650.42
  5. Step 5: Solve for x
    x = 37,349,388,650.42/186,527.84
  6. Step 6: Final answer
    x = 200,234.93

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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.