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Finding the Fourth Proportional to 175,970.98, 242,776.29 and 115,574.32

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Solution

The fourth proportional to 175,970.98, 242,776.29 and 115,574.32 is: 159,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,970.98 : 242,776.29 = 115,574.32 : x
  2. Step 2: Convert to fraction form
    175,970.98/242,776.29 = 115,574.32/x
  3. Step 3: Cross multiply
    175,970.98x = 242,776.29 × 115,574.32
  4. Step 4: Simplify right side
    175,970.98x = 28,058,704,628.87
  5. Step 5: Solve for x
    x = 28,058,704,628.87/175,970.98
  6. Step 6: Final answer
    x = 159,450.75

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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.