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Finding the Fourth Proportional to 259,795.52, 358,510.56 and 146,628.80

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Solution

The fourth proportional to 259,795.52, 358,510.56 and 146,628.80 is: 202,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,795.52 : 358,510.56 = 146,628.80 : x
  2. Step 2: Convert to fraction form
    259,795.52/358,510.56 = 146,628.80/x
  3. Step 3: Cross multiply
    259,795.52x = 358,510.56 × 146,628.80
  4. Step 4: Simplify right side
    259,795.52x = 52,567,973,200.13
  5. Step 5: Solve for x
    x = 52,567,973,200.13/259,795.52
  6. Step 6: Final answer
    x = 202,343.65

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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.