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Finding the Fourth Proportional to 142,005.80, 213,008.70 and 135,093.80

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Solution

The fourth proportional to 142,005.80, 213,008.70 and 135,093.80 is: 202,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,005.80 : 213,008.70 = 135,093.80 : x
  2. Step 2: Convert to fraction form
    142,005.80/213,008.70 = 135,093.80/x
  3. Step 3: Cross multiply
    142,005.80x = 213,008.70 × 135,093.80
  4. Step 4: Simplify right side
    142,005.80x = 28,776,154,716.06
  5. Step 5: Solve for x
    x = 28,776,154,716.06/142,005.80
  6. Step 6: Final answer
    x = 202,640.70

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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.