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Finding the Fourth Proportional to 172,582, 258,499.08 and 83,649.46

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Solution

The fourth proportional to 172,582, 258,499.08 and 83,649.46 is: 125,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,582 : 258,499.08 = 83,649.46 : x
  2. Step 2: Convert to fraction form
    172,582/258,499.08 = 83,649.46/x
  3. Step 3: Cross multiply
    172,582x = 258,499.08 × 83,649.46
  4. Step 4: Simplify right side
    172,582x = 21,623,308,452.50
  5. Step 5: Solve for x
    x = 21,623,308,452.50/172,582
  6. Step 6: Final answer
    x = 125,292.95

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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.