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Finding the Fourth Proportional to 219,426, 302,807.88 and 118,824

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Solution

The fourth proportional to 219,426, 302,807.88 and 118,824 is: 163,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,426 : 302,807.88 = 118,824 : x
  2. Step 2: Convert to fraction form
    219,426/302,807.88 = 118,824/x
  3. Step 3: Cross multiply
    219,426x = 302,807.88 × 118,824
  4. Step 4: Simplify right side
    219,426x = 35,980,843,533.12
  5. Step 5: Solve for x
    x = 35,980,843,533.12/219,426
  6. Step 6: Final answer
    x = 163,977.12

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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.