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Finding the Fourth Proportional to 262,055.64, 361,646.46 and 148,897.56

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Solution

The fourth proportional to 262,055.64, 361,646.46 and 148,897.56 is: 205,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,055.64 : 361,646.46 = 148,897.56 : x
  2. Step 2: Convert to fraction form
    262,055.64/361,646.46 = 148,897.56/x
  3. Step 3: Cross multiply
    262,055.64x = 361,646.46 × 148,897.56
  4. Step 4: Simplify right side
    262,055.64x = 53,848,275,476.64
  5. Step 5: Solve for x
    x = 53,848,275,476.64/262,055.64
  6. Step 6: Final answer
    x = 205,484.13

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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.