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Finding the Fourth Proportional to 219,423.52, 302,802.70 and 118,821.52

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Solution

The fourth proportional to 219,423.52, 302,802.70 and 118,821.52 is: 163,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,423.52 : 302,802.70 = 118,821.52 : x
  2. Step 2: Convert to fraction form
    219,423.52/302,802.70 = 118,821.52/x
  3. Step 3: Cross multiply
    219,423.52x = 302,802.70 × 118,821.52
  4. Step 4: Simplify right side
    219,423.52x = 35,979,477,074.10
  5. Step 5: Solve for x
    x = 35,979,477,074.10/219,423.52
  6. Step 6: Final answer
    x = 163,972.75

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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.