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Finding the Fourth Proportional to 230,462.82, 317,870.73 and 176,137.74

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Solution

The fourth proportional to 230,462.82, 317,870.73 and 176,137.74 is: 242,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,462.82 : 317,870.73 = 176,137.74 : x
  2. Step 2: Convert to fraction form
    230,462.82/317,870.73 = 176,137.74/x
  3. Step 3: Cross multiply
    230,462.82x = 317,870.73 × 176,137.74
  4. Step 4: Simplify right side
    230,462.82x = 55,989,031,994.35
  5. Step 5: Solve for x
    x = 55,989,031,994.35/230,462.82
  6. Step 6: Final answer
    x = 242,941.71

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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.