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Finding the Fourth Proportional to 259,504.16, 358,115.78 and 146,326.91

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Solution

The fourth proportional to 259,504.16, 358,115.78 and 146,326.91 is: 201,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,504.16 : 358,115.78 = 146,326.91 : x
  2. Step 2: Convert to fraction form
    259,504.16/358,115.78 = 146,326.91/x
  3. Step 3: Cross multiply
    259,504.16x = 358,115.78 × 146,326.91
  4. Step 4: Simplify right side
    259,504.16x = 52,401,974,084.88
  5. Step 5: Solve for x
    x = 52,401,974,084.88/259,504.16
  6. Step 6: Final answer
    x = 201,931.16

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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.