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Finding the Fourth Proportional to 219,424.95, 302,804.70 and 118,822.95

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Solution

The fourth proportional to 219,424.95, 302,804.70 and 118,822.95 is: 163,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,424.95 : 302,804.70 = 118,822.95 : x
  2. Step 2: Convert to fraction form
    219,424.95/302,804.70 = 118,822.95/x
  3. Step 3: Cross multiply
    219,424.95x = 302,804.70 × 118,822.95
  4. Step 4: Simplify right side
    219,424.95x = 35,980,147,727.87
  5. Step 5: Solve for x
    x = 35,980,147,727.87/219,424.95
  6. Step 6: Final answer
    x = 163,974.73

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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.