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Finding the Fourth Proportional to 133,977.96, 200,606.90 and 70,666.34

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Solution

The fourth proportional to 133,977.96, 200,606.90 and 70,666.34 is: 105,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,977.96 : 200,606.90 = 70,666.34 : x
  2. Step 2: Convert to fraction form
    133,977.96/200,606.90 = 70,666.34/x
  3. Step 3: Cross multiply
    133,977.96x = 200,606.90 × 70,666.34
  4. Step 4: Simplify right side
    133,977.96x = 14,176,154,045.38
  5. Step 5: Solve for x
    x = 14,176,154,045.38/133,977.96
  6. Step 6: Final answer
    x = 105,809.60

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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.