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Finding the Fourth Proportional to 145,914.01, 201,357.29 and 81,385.16

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Solution

The fourth proportional to 145,914.01, 201,357.29 and 81,385.16 is: 112,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,914.01 : 201,357.29 = 81,385.16 : x
  2. Step 2: Convert to fraction form
    145,914.01/201,357.29 = 81,385.16/x
  3. Step 3: Cross multiply
    145,914.01x = 201,357.29 × 81,385.16
  4. Step 4: Simplify right side
    145,914.01x = 16,387,494,460.49
  5. Step 5: Solve for x
    x = 16,387,494,460.49/145,914.01
  6. Step 6: Final answer
    x = 112,309.26

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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.