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Finding the Fourth Proportional to 180,355.84, 248,970.77 and 107,784.34

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Solution

The fourth proportional to 180,355.84, 248,970.77 and 107,784.34 is: 148,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,355.84 : 248,970.77 = 107,784.34 : x
  2. Step 2: Convert to fraction form
    180,355.84/248,970.77 = 107,784.34/x
  3. Step 3: Cross multiply
    180,355.84x = 248,970.77 × 107,784.34
  4. Step 4: Simplify right side
    180,355.84x = 26,835,150,123.74
  5. Step 5: Solve for x
    x = 26,835,150,123.74/180,355.84
  6. Step 6: Final answer
    x = 148,790.03

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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.