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Finding the Fourth Proportional to 288,514.36, 432,717.18 and 78,124.60

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Solution

The fourth proportional to 288,514.36, 432,717.18 and 78,124.60 is: 117,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,514.36 : 432,717.18 = 78,124.60 : x
  2. Step 2: Convert to fraction form
    288,514.36/432,717.18 = 78,124.60/x
  3. Step 3: Cross multiply
    288,514.36x = 432,717.18 × 78,124.60
  4. Step 4: Simplify right side
    288,514.36x = 33,805,856,600.63
  5. Step 5: Solve for x
    x = 33,805,856,600.63/288,514.36
  6. Step 6: Final answer
    x = 117,172.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.