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Finding the Fourth Proportional to 308,756.77, 462,897.72 and 156,829.02

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Solution

The fourth proportional to 308,756.77, 462,897.72 and 156,829.02 is: 235,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,756.77 : 462,897.72 = 156,829.02 : x
  2. Step 2: Convert to fraction form
    308,756.77/462,897.72 = 156,829.02/x
  3. Step 3: Cross multiply
    308,756.77x = 462,897.72 × 156,829.02
  4. Step 4: Simplify right side
    308,756.77x = 72,595,796,015.49
  5. Step 5: Solve for x
    x = 72,595,796,015.49/308,756.77
  6. Step 6: Final answer
    x = 235,122.93

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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.