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Finding the Fourth Proportional to 235,308.56, 353,006.58 and 77,548.12

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Solution

The fourth proportional to 235,308.56, 353,006.58 and 77,548.12 is: 116,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,308.56 : 353,006.58 = 77,548.12 : x
  2. Step 2: Convert to fraction form
    235,308.56/353,006.58 = 77,548.12/x
  3. Step 3: Cross multiply
    235,308.56x = 353,006.58 × 77,548.12
  4. Step 4: Simplify right side
    235,308.56x = 27,374,996,626.63
  5. Step 5: Solve for x
    x = 27,374,996,626.63/235,308.56
  6. Step 6: Final answer
    x = 116,336.59

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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.