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Finding the Fourth Proportional to 301,784.02, 452,731.02 and 99,391.15

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Solution

The fourth proportional to 301,784.02, 452,731.02 and 99,391.15 is: 149,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,784.02 : 452,731.02 = 99,391.15 : x
  2. Step 2: Convert to fraction form
    301,784.02/452,731.02 = 99,391.15/x
  3. Step 3: Cross multiply
    301,784.02x = 452,731.02 × 99,391.15
  4. Step 4: Simplify right side
    301,784.02x = 44,997,456,718.47
  5. Step 5: Solve for x
    x = 44,997,456,718.47/301,784.02
  6. Step 6: Final answer
    x = 149,104.84

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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.