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Finding the Fourth Proportional to 209,909.94, 289,672.77 and 114,417.01

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Solution

The fourth proportional to 209,909.94, 289,672.77 and 114,417.01 is: 157,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909.94 : 289,672.77 = 114,417.01 : x
  2. Step 2: Convert to fraction form
    209,909.94/289,672.77 = 114,417.01/x
  3. Step 3: Cross multiply
    209,909.94x = 289,672.77 × 114,417.01
  4. Step 4: Simplify right side
    209,909.94x = 33,143,492,221.82
  5. Step 5: Solve for x
    x = 33,143,492,221.82/209,909.94
  6. Step 6: Final answer
    x = 157,893.87

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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.