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Finding the Fourth Proportional to 133,385.74, 200,038.21 and 70,171.00

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Solution

The fourth proportional to 133,385.74, 200,038.21 and 70,171.00 is: 105,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,385.74 : 200,038.21 = 70,171.00 : x
  2. Step 2: Convert to fraction form
    133,385.74/200,038.21 = 70,171.00/x
  3. Step 3: Cross multiply
    133,385.74x = 200,038.21 × 70,171.00
  4. Step 4: Simplify right side
    133,385.74x = 14,036,880,558.39
  5. Step 5: Solve for x
    x = 14,036,880,558.39/133,385.74
  6. Step 6: Final answer
    x = 105,235.24

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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.