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Finding the Fourth Proportional to 145,941.34, 201,398.71 and 82,278.68

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Solution

The fourth proportional to 145,941.34, 201,398.71 and 82,278.68 is: 113,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,941.34 : 201,398.71 = 82,278.68 : x
  2. Step 2: Convert to fraction form
    145,941.34/201,398.71 = 82,278.68/x
  3. Step 3: Cross multiply
    145,941.34x = 201,398.71 × 82,278.68
  4. Step 4: Simplify right side
    145,941.34x = 16,570,819,751.93
  5. Step 5: Solve for x
    x = 16,570,819,751.93/145,941.34
  6. Step 6: Final answer
    x = 113,544.39

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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.