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Finding the Fourth Proportional to 205,833.44, 308,706.95 and 58,054.88

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Solution

The fourth proportional to 205,833.44, 308,706.95 and 58,054.88 is: 87,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,833.44 : 308,706.95 = 58,054.88 : x
  2. Step 2: Convert to fraction form
    205,833.44/308,706.95 = 58,054.88/x
  3. Step 3: Cross multiply
    205,833.44x = 308,706.95 × 58,054.88
  4. Step 4: Simplify right side
    205,833.44x = 17,921,943,539.02
  5. Step 5: Solve for x
    x = 17,921,943,539.02/205,833.44
  6. Step 6: Final answer
    x = 87,070.13

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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.