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Finding the Fourth Proportional to 283,094.58, 424,707.40 and 148,231.92

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Solution

The fourth proportional to 283,094.58, 424,707.40 and 148,231.92 is: 222,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,094.58 : 424,707.40 = 148,231.92 : x
  2. Step 2: Convert to fraction form
    283,094.58/424,707.40 = 148,231.92/x
  3. Step 3: Cross multiply
    283,094.58x = 424,707.40 × 148,231.92
  4. Step 4: Simplify right side
    283,094.58x = 62,955,191,376.98
  5. Step 5: Solve for x
    x = 62,955,191,376.98/283,094.58
  6. Step 6: Final answer
    x = 222,382.18

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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.