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Finding the Fourth Proportional to 180,154.86, 248,629.05 and 104,698.50

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Solution

The fourth proportional to 180,154.86, 248,629.05 and 104,698.50 is: 144,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,154.86 : 248,629.05 = 104,698.50 : x
  2. Step 2: Convert to fraction form
    180,154.86/248,629.05 = 104,698.50/x
  3. Step 3: Cross multiply
    180,154.86x = 248,629.05 × 104,698.50
  4. Step 4: Simplify right side
    180,154.86x = 26,031,088,591.43
  5. Step 5: Solve for x
    x = 26,031,088,591.43/180,154.86
  6. Step 6: Final answer
    x = 144,492.85

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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.