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Finding the Fourth Proportional to 213,061.60, 319,592.40 and 79,946.20

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Solution

The fourth proportional to 213,061.60, 319,592.40 and 79,946.20 is: 119,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,061.60 : 319,592.40 = 79,946.20 : x
  2. Step 2: Convert to fraction form
    213,061.60/319,592.40 = 79,946.20/x
  3. Step 3: Cross multiply
    213,061.60x = 319,592.40 × 79,946.20
  4. Step 4: Simplify right side
    213,061.60x = 25,550,197,928.88
  5. Step 5: Solve for x
    x = 25,550,197,928.88/213,061.60
  6. Step 6: Final answer
    x = 119,919.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.