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Finding the Fourth Proportional to 302,886.47, 454,242.22 and 103,202.44

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Solution

The fourth proportional to 302,886.47, 454,242.22 and 103,202.44 is: 154,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,886.47 : 454,242.22 = 103,202.44 : x
  2. Step 2: Convert to fraction form
    302,886.47/454,242.22 = 103,202.44/x
  3. Step 3: Cross multiply
    302,886.47x = 454,242.22 × 103,202.44
  4. Step 4: Simplify right side
    302,886.47x = 46,878,904,061.41
  5. Step 5: Solve for x
    x = 46,878,904,061.41/302,886.47
  6. Step 6: Final answer
    x = 154,773.85

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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.