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Finding the Fourth Proportional to 205,689.96, 308,638.78 and 93,298.54

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Solution

The fourth proportional to 205,689.96, 308,638.78 and 93,298.54 is: 139,994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,689.96 : 308,638.78 = 93,298.54 : x
  2. Step 2: Convert to fraction form
    205,689.96/308,638.78 = 93,298.54/x
  3. Step 3: Cross multiply
    205,689.96x = 308,638.78 × 93,298.54
  4. Step 4: Simplify right side
    205,689.96x = 28,795,547,561.38
  5. Step 5: Solve for x
    x = 28,795,547,561.38/205,689.96
  6. Step 6: Final answer
    x = 139,994.91

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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.