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Finding the Fourth Proportional to 175,430, 242,099.16 and 95,942

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Solution

The fourth proportional to 175,430, 242,099.16 and 95,942 is: 132,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,430 : 242,099.16 = 95,942 : x
  2. Step 2: Convert to fraction form
    175,430/242,099.16 = 95,942/x
  3. Step 3: Cross multiply
    175,430x = 242,099.16 × 95,942
  4. Step 4: Simplify right side
    175,430x = 23,227,477,608.72
  5. Step 5: Solve for x
    x = 23,227,477,608.72/175,430
  6. Step 6: Final answer
    x = 132,403.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.