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Finding the Fourth Proportional to 199,309.84, 298,913.82 and 59,035.66

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Solution

The fourth proportional to 199,309.84, 298,913.82 and 59,035.66 is: 88,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,309.84 : 298,913.82 = 59,035.66 : x
  2. Step 2: Convert to fraction form
    199,309.84/298,913.82 = 59,035.66/x
  3. Step 3: Cross multiply
    199,309.84x = 298,913.82 × 59,035.66
  4. Step 4: Simplify right side
    199,309.84x = 17,646,574,646.82
  5. Step 5: Solve for x
    x = 17,646,574,646.82/199,309.84
  6. Step 6: Final answer
    x = 88,538.40

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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.