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Finding the Fourth Proportional to 219,343.80, 302,695.41 and 118,741.80

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Solution

The fourth proportional to 219,343.80, 302,695.41 and 118,741.80 is: 163,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,343.80 : 302,695.41 = 118,741.80 : x
  2. Step 2: Convert to fraction form
    219,343.80/302,695.41 = 118,741.80/x
  3. Step 3: Cross multiply
    219,343.80x = 302,695.41 × 118,741.80
  4. Step 4: Simplify right side
    219,343.80x = 35,942,597,835.14
  5. Step 5: Solve for x
    x = 35,942,597,835.14/219,343.80
  6. Step 6: Final answer
    x = 163,864.21

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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.