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Finding the Fourth Proportional to 149,952.84, 224,818.16 and 90,774.51

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Solution

The fourth proportional to 149,952.84, 224,818.16 and 90,774.51 is: 136,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,952.84 : 224,818.16 = 90,774.51 : x
  2. Step 2: Convert to fraction form
    149,952.84/224,818.16 = 90,774.51/x
  3. Step 3: Cross multiply
    149,952.84x = 224,818.16 × 90,774.51
  4. Step 4: Simplify right side
    149,952.84x = 20,407,757,859.23
  5. Step 5: Solve for x
    x = 20,407,757,859.23/149,952.84
  6. Step 6: Final answer
    x = 136,094.51

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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.