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Finding the Fourth Proportional to 213,611.40, 320,417.10 and 55,855.80

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Solution

The fourth proportional to 213,611.40, 320,417.10 and 55,855.80 is: 83,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,611.40 : 320,417.10 = 55,855.80 : x
  2. Step 2: Convert to fraction form
    213,611.40/320,417.10 = 55,855.80/x
  3. Step 3: Cross multiply
    213,611.40x = 320,417.10 × 55,855.80
  4. Step 4: Simplify right side
    213,611.40x = 17,897,153,454.18
  5. Step 5: Solve for x
    x = 17,897,153,454.18/213,611.40
  6. Step 6: Final answer
    x = 83,783.70

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1.5x scale

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.