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Finding the Fourth Proportional to 261,532.64, 360,953.09 and 146,858.72

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Solution

The fourth proportional to 261,532.64, 360,953.09 and 146,858.72 is: 202,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,532.64 : 360,953.09 = 146,858.72 : x
  2. Step 2: Convert to fraction form
    261,532.64/360,953.09 = 146,858.72/x
  3. Step 3: Cross multiply
    261,532.64x = 360,953.09 × 146,858.72
  4. Step 4: Simplify right side
    261,532.64x = 53,009,106,238.39
  5. Step 5: Solve for x
    x = 53,009,106,238.39/261,532.64
  6. Step 6: Final answer
    x = 202,686.39

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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.