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Finding the Fourth Proportional to 209,703.15, 289,393.64 and 114,209.77

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Solution

The fourth proportional to 209,703.15, 289,393.64 and 114,209.77 is: 157,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,703.15 : 289,393.64 = 114,209.77 : x
  2. Step 2: Convert to fraction form
    209,703.15/289,393.64 = 114,209.77/x
  3. Step 3: Cross multiply
    209,703.15x = 289,393.64 × 114,209.77
  4. Step 4: Simplify right side
    209,703.15x = 33,051,579,045.85
  5. Step 5: Solve for x
    x = 33,051,579,045.85/209,703.15
  6. Step 6: Final answer
    x = 157,611.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.