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Finding the Fourth Proportional to 301,953.42, 452,648.55 and 102,134.77

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Solution

The fourth proportional to 301,953.42, 452,648.55 and 102,134.77 is: 153,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,953.42 : 452,648.55 = 102,134.77 : x
  2. Step 2: Convert to fraction form
    301,953.42/452,648.55 = 102,134.77/x
  3. Step 3: Cross multiply
    301,953.42x = 452,648.55 × 102,134.77
  4. Step 4: Simplify right side
    301,953.42x = 46,231,157,342.62
  5. Step 5: Solve for x
    x = 46,231,157,342.62/301,953.42
  6. Step 6: Final answer
    x = 153,106.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.