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Finding the Fourth Proportional to 198,592.77, 297,886.54 and 48,834.35

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Solution

The fourth proportional to 198,592.77, 297,886.54 and 48,834.35 is: 73,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,592.77 : 297,886.54 = 48,834.35 : x
  2. Step 2: Convert to fraction form
    198,592.77/297,886.54 = 48,834.35/x
  3. Step 3: Cross multiply
    198,592.77x = 297,886.54 × 48,834.35
  4. Step 4: Simplify right side
    198,592.77x = 14,547,095,554.65
  5. Step 5: Solve for x
    x = 14,547,095,554.65/198,592.77
  6. Step 6: Final answer
    x = 73,250.88

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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.