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Finding the Fourth Proportional to 299,039.16, 447,915.54 and 141,030.84

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Solution

The fourth proportional to 299,039.16, 447,915.54 and 141,030.84 is: 211,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,039.16 : 447,915.54 = 141,030.84 : x
  2. Step 2: Convert to fraction form
    299,039.16/447,915.54 = 141,030.84/x
  3. Step 3: Cross multiply
    299,039.16x = 447,915.54 × 141,030.84
  4. Step 4: Simplify right side
    299,039.16x = 63,169,904,855.25
  5. Step 5: Solve for x
    x = 63,169,904,855.25/299,039.16
  6. Step 6: Final answer
    x = 211,242.92

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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.