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Finding the Fourth Proportional to 199,448.64, 299,129.76 and 59,208.48

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Solution

The fourth proportional to 199,448.64, 299,129.76 and 59,208.48 is: 88,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,448.64 : 299,129.76 = 59,208.48 : x
  2. Step 2: Convert to fraction form
    199,448.64/299,129.76 = 59,208.48/x
  3. Step 3: Cross multiply
    199,448.64x = 299,129.76 × 59,208.48
  4. Step 4: Simplify right side
    199,448.64x = 17,711,018,412.36
  5. Step 5: Solve for x
    x = 17,711,018,412.36/199,448.64
  6. Step 6: Final answer
    x = 88,799.90

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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.