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Finding the Fourth Proportional to 175,516.25, 242,114.01 and 107,566.16

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Solution

The fourth proportional to 175,516.25, 242,114.01 and 107,566.16 is: 148,380.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,516.25 : 242,114.01 = 107,566.16 : x
  2. Step 2: Convert to fraction form
    175,516.25/242,114.01 = 107,566.16/x
  3. Step 3: Cross multiply
    175,516.25x = 242,114.01 × 107,566.16
  4. Step 4: Simplify right side
    175,516.25x = 26,043,274,337.90
  5. Step 5: Solve for x
    x = 26,043,274,337.90/175,516.25
  6. Step 6: Final answer
    x = 148,380.99

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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.