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Finding the Fourth Proportional to 255,045.29, 382,235.79 and 158,943.02

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Solution

The fourth proportional to 255,045.29, 382,235.79 and 158,943.02 is: 238,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,045.29 : 382,235.79 = 158,943.02 : x
  2. Step 2: Convert to fraction form
    255,045.29/382,235.79 = 158,943.02/x
  3. Step 3: Cross multiply
    255,045.29x = 382,235.79 × 158,943.02
  4. Step 4: Simplify right side
    255,045.29x = 60,753,710,814.69
  5. Step 5: Solve for x
    x = 60,753,710,814.69/255,045.29
  6. Step 6: Final answer
    x = 238,207.54

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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.