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Finding the Fourth Proportional to 145,714.44, 201,089.34 and 81,188.02

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Solution

The fourth proportional to 145,714.44, 201,089.34 and 81,188.02 is: 112,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,714.44 : 201,089.34 = 81,188.02 : x
  2. Step 2: Convert to fraction form
    145,714.44/201,089.34 = 81,188.02/x
  3. Step 3: Cross multiply
    145,714.44x = 201,089.34 × 81,188.02
  4. Step 4: Simplify right side
    145,714.44x = 16,326,044,854.98
  5. Step 5: Solve for x
    x = 16,326,044,854.98/145,714.44
  6. Step 6: Final answer
    x = 112,041.37

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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.