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Finding the Fourth Proportional to 145,714.39, 201,089.22 and 81,187.90

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Solution

The fourth proportional to 145,714.39, 201,089.22 and 81,187.90 is: 112,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,714.39 : 201,089.22 = 81,187.90 : x
  2. Step 2: Convert to fraction form
    145,714.39/201,089.22 = 81,187.90/x
  3. Step 3: Cross multiply
    145,714.39x = 201,089.22 × 81,187.90
  4. Step 4: Simplify right side
    145,714.39x = 16,326,010,981.72
  5. Step 5: Solve for x
    x = 16,326,010,981.72/145,714.39
  6. Step 6: Final answer
    x = 112,041.17

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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.