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Finding the Fourth Proportional to 219,411.18, 302,786.91 and 118,809.18

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Solution

The fourth proportional to 219,411.18, 302,786.91 and 118,809.18 is: 163,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,411.18 : 302,786.91 = 118,809.18 : x
  2. Step 2: Convert to fraction form
    219,411.18/302,786.91 = 118,809.18/x
  3. Step 3: Cross multiply
    219,411.18x = 302,786.91 × 118,809.18
  4. Step 4: Simplify right side
    219,411.18x = 35,973,864,491.83
  5. Step 5: Solve for x
    x = 35,973,864,491.83/219,411.18
  6. Step 6: Final answer
    x = 163,956.39

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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.