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Finding the Fourth Proportional to 132,853.83, 183,331.53 and 75,485.67

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Solution

The fourth proportional to 132,853.83, 183,331.53 and 75,485.67 is: 104,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,853.83 : 183,331.53 = 75,485.67 : x
  2. Step 2: Convert to fraction form
    132,853.83/183,331.53 = 75,485.67/x
  3. Step 3: Cross multiply
    132,853.83x = 183,331.53 × 75,485.67
  4. Step 4: Simplify right side
    132,853.83x = 13,838,903,374.18
  5. Step 5: Solve for x
    x = 13,838,903,374.18/132,853.83
  6. Step 6: Final answer
    x = 104,166.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.