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Finding the Fourth Proportional to 145,146.36, 200,295.54 and 81,482.88

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Solution

The fourth proportional to 145,146.36, 200,295.54 and 81,482.88 is: 112,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,146.36 : 200,295.54 = 81,482.88 : x
  2. Step 2: Convert to fraction form
    145,146.36/200,295.54 = 81,482.88/x
  3. Step 3: Cross multiply
    145,146.36x = 200,295.54 × 81,482.88
  4. Step 4: Simplify right side
    145,146.36x = 16,320,657,450.36
  5. Step 5: Solve for x
    x = 16,320,657,450.36/145,146.36
  6. Step 6: Final answer
    x = 112,442.76

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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.