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Finding the Fourth Proportional to 201,416.10, 302,221.35 and 142,124.10

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Solution

The fourth proportional to 201,416.10, 302,221.35 and 142,124.10 is: 213,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,416.10 : 302,221.35 = 142,124.10 : x
  2. Step 2: Convert to fraction form
    201,416.10/302,221.35 = 142,124.10/x
  3. Step 3: Cross multiply
    201,416.10x = 302,221.35 × 142,124.10
  4. Step 4: Simplify right side
    201,416.10x = 42,952,937,369.54
  5. Step 5: Solve for x
    x = 42,952,937,369.54/201,416.10
  6. Step 6: Final answer
    x = 213,254.74

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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.