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Finding the Fourth Proportional to 219,262.38, 302,582.10 and 118,660.38

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Solution

The fourth proportional to 219,262.38, 302,582.10 and 118,660.38 is: 163,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,262.38 : 302,582.10 = 118,660.38 : x
  2. Step 2: Convert to fraction form
    219,262.38/302,582.10 = 118,660.38/x
  3. Step 3: Cross multiply
    219,262.38x = 302,582.10 × 118,660.38
  4. Step 4: Simplify right side
    219,262.38x = 35,904,506,967.20
  5. Step 5: Solve for x
    x = 35,904,506,967.20/219,262.38
  6. Step 6: Final answer
    x = 163,751.33

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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.