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Finding the Fourth Proportional to 415,615.80, 623,029.14 and 134,936.76

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Solution

The fourth proportional to 415,615.80, 623,029.14 and 134,936.76 is: 202,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,615.80 : 623,029.14 = 134,936.76 : x
  2. Step 2: Convert to fraction form
    415,615.80/623,029.14 = 134,936.76/x
  3. Step 3: Cross multiply
    415,615.80x = 623,029.14 × 134,936.76
  4. Step 4: Simplify right side
    415,615.80x = 84,069,533,537.19
  5. Step 5: Solve for x
    x = 84,069,533,537.19/415,615.80
  6. Step 6: Final answer
    x = 202,277.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.