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Finding the Fourth Proportional to 299,076.79, 448,483.95 and 111,957.07

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Solution

The fourth proportional to 299,076.79, 448,483.95 and 111,957.07 is: 167,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,076.79 : 448,483.95 = 111,957.07 : x
  2. Step 2: Convert to fraction form
    299,076.79/448,483.95 = 111,957.07/x
  3. Step 3: Cross multiply
    299,076.79x = 448,483.95 × 111,957.07
  4. Step 4: Simplify right side
    299,076.79x = 50,210,948,984.03
  5. Step 5: Solve for x
    x = 50,210,948,984.03/299,076.79
  6. Step 6: Final answer
    x = 167,886.48

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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.