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Finding the Fourth Proportional to 201,158.60, 301,774.35 and 101,066.90

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Solution

The fourth proportional to 201,158.60, 301,774.35 and 101,066.90 is: 151,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,158.60 : 301,774.35 = 101,066.90 : x
  2. Step 2: Convert to fraction form
    201,158.60/301,774.35 = 101,066.90/x
  3. Step 3: Cross multiply
    201,158.60x = 301,774.35 × 101,066.90
  4. Step 4: Simplify right side
    201,158.60x = 30,499,398,054.02
  5. Step 5: Solve for x
    x = 30,499,398,054.02/201,158.60
  6. Step 6: Final answer
    x = 151,618.66

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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.