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Finding the Fourth Proportional to 175,592.74, 242,319.10 and 102,980.82

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Solution

The fourth proportional to 175,592.74, 242,319.10 and 102,980.82 is: 142,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,592.74 : 242,319.10 = 102,980.82 : x
  2. Step 2: Convert to fraction form
    175,592.74/242,319.10 = 102,980.82/x
  3. Step 3: Cross multiply
    175,592.74x = 242,319.10 × 102,980.82
  4. Step 4: Simplify right side
    175,592.74x = 24,954,219,619.66
  5. Step 5: Solve for x
    x = 24,954,219,619.66/175,592.74
  6. Step 6: Final answer
    x = 142,114.19

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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.