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Finding the Fourth Proportional to 175,430.30, 242,121.09 and 115,175.70

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Solution

The fourth proportional to 175,430.30, 242,121.09 and 115,175.70 is: 158,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,430.30 : 242,121.09 = 115,175.70 : x
  2. Step 2: Convert to fraction form
    175,430.30/242,121.09 = 115,175.70/x
  3. Step 3: Cross multiply
    175,430.30x = 242,121.09 × 115,175.70
  4. Step 4: Simplify right side
    175,430.30x = 27,886,466,025.51
  5. Step 5: Solve for x
    x = 27,886,466,025.51/175,430.30
  6. Step 6: Final answer
    x = 158,960.38

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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.