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Finding the Fourth Proportional to 133,710.48, 200,691 and 70,577.46

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Solution

The fourth proportional to 133,710.48, 200,691 and 70,577.46 is: 105,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,710.48 : 200,691 = 70,577.46 : x
  2. Step 2: Convert to fraction form
    133,710.48/200,691 = 70,577.46/x
  3. Step 3: Cross multiply
    133,710.48x = 200,691 × 70,577.46
  4. Step 4: Simplify right side
    133,710.48x = 14,164,261,024.86
  5. Step 5: Solve for x
    x = 14,164,261,024.86/133,710.48
  6. Step 6: Final answer
    x = 105,932.32

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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.