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Finding the Fourth Proportional to 202,951.61, 304,421.14 and 96,412.26

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Solution

The fourth proportional to 202,951.61, 304,421.14 and 96,412.26 is: 144,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,951.61 : 304,421.14 = 96,412.26 : x
  2. Step 2: Convert to fraction form
    202,951.61/304,421.14 = 96,412.26/x
  3. Step 3: Cross multiply
    202,951.61x = 304,421.14 × 96,412.26
  4. Step 4: Simplify right side
    202,951.61x = 29,349,929,106.58
  5. Step 5: Solve for x
    x = 29,349,929,106.58/202,951.61
  6. Step 6: Final answer
    x = 144,615.41

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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.