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Finding the Fourth Proportional to 219,097, 302,353.86 and 118,495

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Solution

The fourth proportional to 219,097, 302,353.86 and 118,495 is: 163,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,097 : 302,353.86 = 118,495 : x
  2. Step 2: Convert to fraction form
    219,097/302,353.86 = 118,495/x
  3. Step 3: Cross multiply
    219,097x = 302,353.86 × 118,495
  4. Step 4: Simplify right side
    219,097x = 35,827,420,640.70
  5. Step 5: Solve for x
    x = 35,827,420,640.70/219,097
  6. Step 6: Final answer
    x = 163,523.10

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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.