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Finding the Fourth Proportional to 299,118.23, 448,580.28 and 99,384.98

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Solution

The fourth proportional to 299,118.23, 448,580.28 and 99,384.98 is: 149,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,118.23 : 448,580.28 = 99,384.98 : x
  2. Step 2: Convert to fraction form
    299,118.23/448,580.28 = 99,384.98/x
  3. Step 3: Cross multiply
    299,118.23x = 448,580.28 × 99,384.98
  4. Step 4: Simplify right side
    299,118.23x = 44,582,142,156.19
  5. Step 5: Solve for x
    x = 44,582,142,156.19/299,118.23
  6. Step 6: Final answer
    x = 149,045.22

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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.