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Finding the Fourth Proportional to 219,097.38, 302,354.38 and 118,495.38

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Solution

The fourth proportional to 219,097.38, 302,354.38 and 118,495.38 is: 163,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,097.38 : 302,354.38 = 118,495.38 : x
  2. Step 2: Convert to fraction form
    219,097.38/302,354.38 = 118,495.38/x
  3. Step 3: Cross multiply
    219,097.38x = 302,354.38 × 118,495.38
  4. Step 4: Simplify right side
    219,097.38x = 35,827,597,152.76
  5. Step 5: Solve for x
    x = 35,827,597,152.76/219,097.38
  6. Step 6: Final answer
    x = 163,523.62

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1.5x scale

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.