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Finding the Fourth Proportional to 241,125.76, 361,696.84 and 97,029.78

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Solution

The fourth proportional to 241,125.76, 361,696.84 and 97,029.78 is: 145,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,125.76 : 361,696.84 = 97,029.78 : x
  2. Step 2: Convert to fraction form
    241,125.76/361,696.84 = 97,029.78/x
  3. Step 3: Cross multiply
    241,125.76x = 361,696.84 × 97,029.78
  4. Step 4: Simplify right side
    241,125.76x = 35,095,364,811.90
  5. Step 5: Solve for x
    x = 35,095,364,811.90/241,125.76
  6. Step 6: Final answer
    x = 145,547.97

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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.