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Finding the Fourth Proportional to 283,130, 424,864.59 and 105,761.66

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Solution

The fourth proportional to 283,130, 424,864.59 and 105,761.66 is: 158,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,130 : 424,864.59 = 105,761.66 : x
  2. Step 2: Convert to fraction form
    283,130/424,864.59 = 105,761.66/x
  3. Step 3: Cross multiply
    283,130x = 424,864.59 × 105,761.66
  4. Step 4: Simplify right side
    283,130x = 44,934,384,313.62
  5. Step 5: Solve for x
    x = 44,934,384,313.62/283,130
  6. Step 6: Final answer
    x = 158,705.84

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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.