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Finding the Fourth Proportional to 209,956.40, 314,934.60 and 142,596.80

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Solution

The fourth proportional to 209,956.40, 314,934.60 and 142,596.80 is: 213,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,956.40 : 314,934.60 = 142,596.80 : x
  2. Step 2: Convert to fraction form
    209,956.40/314,934.60 = 142,596.80/x
  3. Step 3: Cross multiply
    209,956.40x = 314,934.60 × 142,596.80
  4. Step 4: Simplify right side
    209,956.40x = 44,908,666,169.28
  5. Step 5: Solve for x
    x = 44,908,666,169.28/209,956.40
  6. Step 6: Final answer
    x = 213,895.20

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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.