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Finding the Fourth Proportional to 200,345.92, 276,484.82 and 114,318.92

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Solution

The fourth proportional to 200,345.92, 276,484.82 and 114,318.92 is: 157,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,345.92 : 276,484.82 = 114,318.92 : x
  2. Step 2: Convert to fraction form
    200,345.92/276,484.82 = 114,318.92/x
  3. Step 3: Cross multiply
    200,345.92x = 276,484.82 × 114,318.92
  4. Step 4: Simplify right side
    200,345.92x = 31,607,446,018.79
  5. Step 5: Solve for x
    x = 31,607,446,018.79/200,345.92
  6. Step 6: Final answer
    x = 157,764.36

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1.5x scale

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.