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Finding the Fourth Proportional to 148,938.64, 205,530.12 and 81,870.16

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Solution

The fourth proportional to 148,938.64, 205,530.12 and 81,870.16 is: 112,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,938.64 : 205,530.12 = 81,870.16 : x
  2. Step 2: Convert to fraction form
    148,938.64/205,530.12 = 81,870.16/x
  3. Step 3: Cross multiply
    148,938.64x = 205,530.12 × 81,870.16
  4. Step 4: Simplify right side
    148,938.64x = 16,826,783,809.22
  5. Step 5: Solve for x
    x = 16,826,783,809.22/148,938.64
  6. Step 6: Final answer
    x = 112,977.96

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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.