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Finding the Fourth Proportional to 175,152, 241,715.52 and 95,664

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Solution

The fourth proportional to 175,152, 241,715.52 and 95,664 is: 132,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,152 : 241,715.52 = 95,664 : x
  2. Step 2: Convert to fraction form
    175,152/241,715.52 = 95,664/x
  3. Step 3: Cross multiply
    175,152x = 241,715.52 × 95,664
  4. Step 4: Simplify right side
    175,152x = 23,123,473,505.28
  5. Step 5: Solve for x
    x = 23,123,473,505.28/175,152
  6. Step 6: Final answer
    x = 132,019.47

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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.