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Finding the Fourth Proportional to 133,848.80, 200,542.80 and 70,575.20

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Solution

The fourth proportional to 133,848.80, 200,542.80 and 70,575.20 is: 105,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,848.80 : 200,542.80 = 70,575.20 : x
  2. Step 2: Convert to fraction form
    133,848.80/200,542.80 = 70,575.20/x
  3. Step 3: Cross multiply
    133,848.80x = 200,542.80 × 70,575.20
  4. Step 4: Simplify right side
    133,848.80x = 14,153,348,218.56
  5. Step 5: Solve for x
    x = 14,153,348,218.56/133,848.80
  6. Step 6: Final answer
    x = 105,741.32

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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.