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Finding the Fourth Proportional to 201,159.94, 301,740.63 and 68,041.30

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Solution

The fourth proportional to 201,159.94, 301,740.63 and 68,041.30 is: 102,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,159.94 : 301,740.63 = 68,041.30 : x
  2. Step 2: Convert to fraction form
    201,159.94/301,740.63 = 68,041.30/x
  3. Step 3: Cross multiply
    201,159.94x = 301,740.63 × 68,041.30
  4. Step 4: Simplify right side
    201,159.94x = 20,530,824,728.02
  5. Step 5: Solve for x
    x = 20,530,824,728.02/201,159.94
  6. Step 6: Final answer
    x = 102,062.19

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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.