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Finding the Fourth Proportional to 301,512.27, 416,281.66 and 186,913.38

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Solution

The fourth proportional to 301,512.27, 416,281.66 and 186,913.38 is: 258,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,512.27 : 416,281.66 = 186,913.38 : x
  2. Step 2: Convert to fraction form
    301,512.27/416,281.66 = 186,913.38/x
  3. Step 3: Cross multiply
    301,512.27x = 416,281.66 × 186,913.38
  4. Step 4: Simplify right side
    301,512.27x = 77,808,611,168.04
  5. Step 5: Solve for x
    x = 77,808,611,168.04/301,512.27
  6. Step 6: Final answer
    x = 258,061.18

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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.