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Finding the Fourth Proportional to 145,062.32, 200,189.64 and 81,405.20

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Solution

The fourth proportional to 145,062.32, 200,189.64 and 81,405.20 is: 112,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,062.32 : 200,189.64 = 81,405.20 : x
  2. Step 2: Convert to fraction form
    145,062.32/200,189.64 = 81,405.20/x
  3. Step 3: Cross multiply
    145,062.32x = 200,189.64 × 81,405.20
  4. Step 4: Simplify right side
    145,062.32x = 16,296,477,682.13
  5. Step 5: Solve for x
    x = 16,296,477,682.13/145,062.32
  6. Step 6: Final answer
    x = 112,341.22

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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.