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Finding the Fourth Proportional to 201,904.60, 302,856.90 and 162,538.60

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Solution

The fourth proportional to 201,904.60, 302,856.90 and 162,538.60 is: 243,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,904.60 : 302,856.90 = 162,538.60 : x
  2. Step 2: Convert to fraction form
    201,904.60/302,856.90 = 162,538.60/x
  3. Step 3: Cross multiply
    201,904.60x = 302,856.90 × 162,538.60
  4. Step 4: Simplify right side
    201,904.60x = 49,225,936,526.34
  5. Step 5: Solve for x
    x = 49,225,936,526.34/201,904.60
  6. Step 6: Final answer
    x = 243,807.90

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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.