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Finding the Fourth Proportional to 206,886.50, 285,503.64 and 117,462.50

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Solution

The fourth proportional to 206,886.50, 285,503.64 and 117,462.50 is: 162,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,886.50 : 285,503.64 = 117,462.50 : x
  2. Step 2: Convert to fraction form
    206,886.50/285,503.64 = 117,462.50/x
  3. Step 3: Cross multiply
    206,886.50x = 285,503.64 × 117,462.50
  4. Step 4: Simplify right side
    206,886.50x = 33,535,971,313.50
  5. Step 5: Solve for x
    x = 33,535,971,313.50/206,886.50
  6. Step 6: Final answer
    x = 162,098.40

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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.