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Finding the Fourth Proportional to 213,144.20, 319,598.74 and 86,752

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Solution

The fourth proportional to 213,144.20, 319,598.74 and 86,752 is: 130,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,144.20 : 319,598.74 = 86,752 : x
  2. Step 2: Convert to fraction form
    213,144.20/319,598.74 = 86,752/x
  3. Step 3: Cross multiply
    213,144.20x = 319,598.74 × 86,752
  4. Step 4: Simplify right side
    213,144.20x = 27,725,829,892.48
  5. Step 5: Solve for x
    x = 27,725,829,892.48/213,144.20
  6. Step 6: Final answer
    x = 130,080.15

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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.