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Finding the Fourth Proportional to 147,008.36, 202,866.72 and 82,473.68

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Solution

The fourth proportional to 147,008.36, 202,866.72 and 82,473.68 is: 113,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,008.36 : 202,866.72 = 82,473.68 : x
  2. Step 2: Convert to fraction form
    147,008.36/202,866.72 = 82,473.68/x
  3. Step 3: Cross multiply
    147,008.36x = 202,866.72 × 82,473.68
  4. Step 4: Simplify right side
    147,008.36x = 16,731,164,947.93
  5. Step 5: Solve for x
    x = 16,731,164,947.93/147,008.36
  6. Step 6: Final answer
    x = 113,810.98

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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.