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Finding the Fourth Proportional to 199,836.63, 299,902.77 and 94,655.84

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Solution

The fourth proportional to 199,836.63, 299,902.77 and 94,655.84 is: 142,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,836.63 : 299,902.77 = 94,655.84 : x
  2. Step 2: Convert to fraction form
    199,836.63/299,902.77 = 94,655.84/x
  3. Step 3: Cross multiply
    199,836.63x = 299,902.77 × 94,655.84
  4. Step 4: Simplify right side
    199,836.63x = 28,387,547,113.16
  5. Step 5: Solve for x
    x = 28,387,547,113.16/199,836.63
  6. Step 6: Final answer
    x = 142,053.77

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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.