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Finding the Fourth Proportional to 299,222.16, 448,877.93 and 96,750.51

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Solution

The fourth proportional to 299,222.16, 448,877.93 and 96,750.51 is: 145,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,222.16 : 448,877.93 = 96,750.51 : x
  2. Step 2: Convert to fraction form
    299,222.16/448,877.93 = 96,750.51/x
  3. Step 3: Cross multiply
    299,222.16x = 448,877.93 × 96,750.51
  4. Step 4: Simplify right side
    299,222.16x = 43,429,168,171.49
  5. Step 5: Solve for x
    x = 43,429,168,171.49/299,222.16
  6. Step 6: Final answer
    x = 145,140.21

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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.