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Finding the Fourth Proportional to 205,869.60, 308,415.60 and 105,688.80

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Solution

The fourth proportional to 205,869.60, 308,415.60 and 105,688.80 is: 158,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,869.60 : 308,415.60 = 105,688.80 : x
  2. Step 2: Convert to fraction form
    205,869.60/308,415.60 = 105,688.80/x
  3. Step 3: Cross multiply
    205,869.60x = 308,415.60 × 105,688.80
  4. Step 4: Simplify right side
    205,869.60x = 32,596,074,665.28
  5. Step 5: Solve for x
    x = 32,596,074,665.28/205,869.60
  6. Step 6: Final answer
    x = 158,333.60

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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.