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Finding the Fourth Proportional to 142,814.91, 214,011.21 and 134,826.90

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Solution

The fourth proportional to 142,814.91, 214,011.21 and 134,826.90 is: 202,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,814.91 : 214,011.21 = 134,826.90 : x
  2. Step 2: Convert to fraction form
    142,814.91/214,011.21 = 134,826.90/x
  3. Step 3: Cross multiply
    142,814.91x = 214,011.21 × 134,826.90
  4. Step 4: Simplify right side
    142,814.91x = 28,854,468,009.55
  5. Step 5: Solve for x
    x = 28,854,468,009.55/142,814.91
  6. Step 6: Final answer
    x = 202,041.01

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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.