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Finding the Fourth Proportional to 142,537.12, 213,798.06 and 53,784.88

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Solution

The fourth proportional to 142,537.12, 213,798.06 and 53,784.88 is: 80,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,537.12 : 213,798.06 = 53,784.88 : x
  2. Step 2: Convert to fraction form
    142,537.12/213,798.06 = 53,784.88/x
  3. Step 3: Cross multiply
    142,537.12x = 213,798.06 × 53,784.88
  4. Step 4: Simplify right side
    142,537.12x = 11,499,103,001.33
  5. Step 5: Solve for x
    x = 11,499,103,001.33/142,537.12
  6. Step 6: Final answer
    x = 80,674.44

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1.5x scale

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.