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Finding the Fourth Proportional to 153,759, 230,666.36 and 69,558.84

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Solution

The fourth proportional to 153,759, 230,666.36 and 69,558.84 is: 104,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,759 : 230,666.36 = 69,558.84 : x
  2. Step 2: Convert to fraction form
    153,759/230,666.36 = 69,558.84/x
  3. Step 3: Cross multiply
    153,759x = 230,666.36 × 69,558.84
  4. Step 4: Simplify right side
    153,759x = 16,044,884,428.62
  5. Step 5: Solve for x
    x = 16,044,884,428.62/153,759
  6. Step 6: Final answer
    x = 104,350.86

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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.