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Finding the Fourth Proportional to 259,659, 358,322.94 and 146,472.84

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Solution

The fourth proportional to 259,659, 358,322.94 and 146,472.84 is: 202,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,659 : 358,322.94 = 146,472.84 : x
  2. Step 2: Convert to fraction form
    259,659/358,322.94 = 146,472.84/x
  3. Step 3: Cross multiply
    259,659x = 358,322.94 × 146,472.84
  4. Step 4: Simplify right side
    259,659x = 52,484,578,658.95
  5. Step 5: Solve for x
    x = 52,484,578,658.95/259,659
  6. Step 6: Final answer
    x = 202,128.86

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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.