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Finding the Fourth Proportional to 219,024.75, 302,254.16 and 118,422.75

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Solution

The fourth proportional to 219,024.75, 302,254.16 and 118,422.75 is: 163,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,024.75 : 302,254.16 = 118,422.75 : x
  2. Step 2: Convert to fraction form
    219,024.75/302,254.16 = 118,422.75/x
  3. Step 3: Cross multiply
    219,024.75x = 302,254.16 × 118,422.75
  4. Step 4: Simplify right side
    219,024.75x = 35,793,768,234.03
  5. Step 5: Solve for x
    x = 35,793,768,234.03/219,024.75
  6. Step 6: Final answer
    x = 163,423.40

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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.