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Finding the Fourth Proportional to 175,381.75, 242,050.51 and 98,916.54

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Solution

The fourth proportional to 175,381.75, 242,050.51 and 98,916.54 is: 136,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,381.75 : 242,050.51 = 98,916.54 : x
  2. Step 2: Convert to fraction form
    175,381.75/242,050.51 = 98,916.54/x
  3. Step 3: Cross multiply
    175,381.75x = 242,050.51 × 98,916.54
  4. Step 4: Simplify right side
    175,381.75x = 23,942,798,954.44
  5. Step 5: Solve for x
    x = 23,942,798,954.44/175,381.75
  6. Step 6: Final answer
    x = 136,518.19

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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.