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Finding the Fourth Proportional to 242,653.76, 364,052.94 and 175,337.90

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Solution

The fourth proportional to 242,653.76, 364,052.94 and 175,337.90 is: 263,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,653.76 : 364,052.94 = 175,337.90 : x
  2. Step 2: Convert to fraction form
    242,653.76/364,052.94 = 175,337.90/x
  3. Step 3: Cross multiply
    242,653.76x = 364,052.94 × 175,337.90
  4. Step 4: Simplify right side
    242,653.76x = 63,832,277,988.43
  5. Step 5: Solve for x
    x = 63,832,277,988.43/242,653.76
  6. Step 6: Final answer
    x = 263,059.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.