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Finding the Fourth Proportional to 180,098.29, 248,514.47 and 99,521.01

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Solution

The fourth proportional to 180,098.29, 248,514.47 and 99,521.01 is: 137,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,098.29 : 248,514.47 = 99,521.01 : x
  2. Step 2: Convert to fraction form
    180,098.29/248,514.47 = 99,521.01/x
  3. Step 3: Cross multiply
    180,098.29x = 248,514.47 × 99,521.01
  4. Step 4: Simplify right side
    180,098.29x = 24,732,410,929.61
  5. Step 5: Solve for x
    x = 24,732,410,929.61/180,098.29
  6. Step 6: Final answer
    x = 137,327.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.