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Finding the Fourth Proportional to 186,120.42, 256,838.40 and 109,642.64

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Solution

The fourth proportional to 186,120.42, 256,838.40 and 109,642.64 is: 151,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,120.42 : 256,838.40 = 109,642.64 : x
  2. Step 2: Convert to fraction form
    186,120.42/256,838.40 = 109,642.64/x
  3. Step 3: Cross multiply
    186,120.42x = 256,838.40 × 109,642.64
  4. Step 4: Simplify right side
    186,120.42x = 28,160,440,229.38
  5. Step 5: Solve for x
    x = 28,160,440,229.38/186,120.42
  6. Step 6: Final answer
    x = 151,302.26

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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.