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Finding the Fourth Proportional to 145,602.80, 200,950.84 and 83,537.64

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Solution

The fourth proportional to 145,602.80, 200,950.84 and 83,537.64 is: 115,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,602.80 : 200,950.84 = 83,537.64 : x
  2. Step 2: Convert to fraction form
    145,602.80/200,950.84 = 83,537.64/x
  3. Step 3: Cross multiply
    145,602.80x = 200,950.84 × 83,537.64
  4. Step 4: Simplify right side
    145,602.80x = 16,786,958,929.62
  5. Step 5: Solve for x
    x = 16,786,958,929.62/145,602.80
  6. Step 6: Final answer
    x = 115,292.83

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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.