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Finding the Fourth Proportional to 209,611.80, 314,393.40 and 59,875.20

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Solution

The fourth proportional to 209,611.80, 314,393.40 and 59,875.20 is: 89,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,611.80 : 314,393.40 = 59,875.20 : x
  2. Step 2: Convert to fraction form
    209,611.80/314,393.40 = 59,875.20/x
  3. Step 3: Cross multiply
    209,611.80x = 314,393.40 × 59,875.20
  4. Step 4: Simplify right side
    209,611.80x = 18,824,367,703.68
  5. Step 5: Solve for x
    x = 18,824,367,703.68/209,611.80
  6. Step 6: Final answer
    x = 89,805.86

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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.