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Finding the Fourth Proportional to 133,056.90, 199,624.23 and 39,564.90

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Solution

The fourth proportional to 133,056.90, 199,624.23 and 39,564.90 is: 59,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,056.90 : 199,624.23 = 39,564.90 : x
  2. Step 2: Convert to fraction form
    133,056.90/199,624.23 = 39,564.90/x
  3. Step 3: Cross multiply
    133,056.90x = 199,624.23 × 39,564.90
  4. Step 4: Simplify right side
    133,056.90x = 7,898,112,697.53
  5. Step 5: Solve for x
    x = 7,898,112,697.53/133,056.90
  6. Step 6: Final answer
    x = 59,358.91

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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.