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Finding the Fourth Proportional to 283,424.66, 425,129.90 and 114,899.93

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Solution

The fourth proportional to 283,424.66, 425,129.90 and 114,899.93 is: 172,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,424.66 : 425,129.90 = 114,899.93 : x
  2. Step 2: Convert to fraction form
    283,424.66/425,129.90 = 114,899.93/x
  3. Step 3: Cross multiply
    283,424.66x = 425,129.90 × 114,899.93
  4. Step 4: Simplify right side
    283,424.66x = 48,847,393,050.76
  5. Step 5: Solve for x
    x = 48,847,393,050.76/283,424.66
  6. Step 6: Final answer
    x = 172,347.01

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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.