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Finding the Fourth Proportional to 133,132.21, 183,746.18 and 78,682.15

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Solution

The fourth proportional to 133,132.21, 183,746.18 and 78,682.15 is: 108,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,132.21 : 183,746.18 = 78,682.15 : x
  2. Step 2: Convert to fraction form
    133,132.21/183,746.18 = 78,682.15/x
  3. Step 3: Cross multiply
    133,132.21x = 183,746.18 × 78,682.15
  4. Step 4: Simplify right side
    133,132.21x = 14,457,544,496.69
  5. Step 5: Solve for x
    x = 14,457,544,496.69/133,132.21
  6. Step 6: Final answer
    x = 108,595.39

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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.