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Finding the Fourth Proportional to 186,274.81, 257,052.11 and 105,697.53

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Solution

The fourth proportional to 186,274.81, 257,052.11 and 105,697.53 is: 145,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,274.81 : 257,052.11 = 105,697.53 : x
  2. Step 2: Convert to fraction form
    186,274.81/257,052.11 = 105,697.53/x
  3. Step 3: Cross multiply
    186,274.81x = 257,052.11 × 105,697.53
  4. Step 4: Simplify right side
    186,274.81x = 27,169,773,108.29
  5. Step 5: Solve for x
    x = 27,169,773,108.29/186,274.81
  6. Step 6: Final answer
    x = 145,858.55

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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.