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Finding the Fourth Proportional to 259,806.52, 358,525.74 and 146,639.80

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Solution

The fourth proportional to 259,806.52, 358,525.74 and 146,639.80 is: 202,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,806.52 : 358,525.74 = 146,639.80 : x
  2. Step 2: Convert to fraction form
    259,806.52/358,525.74 = 146,639.80/x
  3. Step 3: Cross multiply
    259,806.52x = 358,525.74 × 146,639.80
  4. Step 4: Simplify right side
    259,806.52x = 52,574,142,808.45
  5. Step 5: Solve for x
    x = 52,574,142,808.45/259,806.52
  6. Step 6: Final answer
    x = 202,358.83

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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.