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Finding the Fourth Proportional to 205,837.98, 308,547.45 and 93,597.90

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Solution

The fourth proportional to 205,837.98, 308,547.45 and 93,597.90 is: 140,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,837.98 : 308,547.45 = 93,597.90 : x
  2. Step 2: Convert to fraction form
    205,837.98/308,547.45 = 93,597.90/x
  3. Step 3: Cross multiply
    205,837.98x = 308,547.45 × 93,597.90
  4. Step 4: Simplify right side
    205,837.98x = 28,879,393,370.36
  5. Step 5: Solve for x
    x = 28,879,393,370.36/205,837.98
  6. Step 6: Final answer
    x = 140,301.58

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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.