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Finding the Fourth Proportional to 145,060.32, 200,186.88 and 81,403.20

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Solution

The fourth proportional to 145,060.32, 200,186.88 and 81,403.20 is: 112,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,060.32 : 200,186.88 = 81,403.20 : x
  2. Step 2: Convert to fraction form
    145,060.32/200,186.88 = 81,403.20/x
  3. Step 3: Cross multiply
    145,060.32x = 200,186.88 × 81,403.20
  4. Step 4: Simplify right side
    145,060.32x = 16,295,852,630.02
  5. Step 5: Solve for x
    x = 16,295,852,630.02/145,060.32
  6. Step 6: Final answer
    x = 112,338.46

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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.