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Finding the Fourth Proportional to 219,548.24, 302,977.82 and 118,946.24

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Solution

The fourth proportional to 219,548.24, 302,977.82 and 118,946.24 is: 164,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,548.24 : 302,977.82 = 118,946.24 : x
  2. Step 2: Convert to fraction form
    219,548.24/302,977.82 = 118,946.24/x
  3. Step 3: Cross multiply
    219,548.24x = 302,977.82 × 118,946.24
  4. Step 4: Simplify right side
    219,548.24x = 36,038,072,492.40
  5. Step 5: Solve for x
    x = 36,038,072,492.40/219,548.24
  6. Step 6: Final answer
    x = 164,146.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.