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Finding the Fourth Proportional to 205,730.01, 308,592.78 and 156,114.81

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Solution

The fourth proportional to 205,730.01, 308,592.78 and 156,114.81 is: 234,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,730.01 : 308,592.78 = 156,114.81 : x
  2. Step 2: Convert to fraction form
    205,730.01/308,592.78 = 156,114.81/x
  3. Step 3: Cross multiply
    205,730.01x = 308,592.78 × 156,114.81
  4. Step 4: Simplify right side
    205,730.01x = 48,175,901,674.11
  5. Step 5: Solve for x
    x = 48,175,901,674.11/205,730.01
  6. Step 6: Final answer
    x = 234,170.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.