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Finding the Fourth Proportional to 201,417.10, 302,222.85 and 142,125.10

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Solution

The fourth proportional to 201,417.10, 302,222.85 and 142,125.10 is: 213,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,417.10 : 302,222.85 = 142,125.10 : x
  2. Step 2: Convert to fraction form
    201,417.10/302,222.85 = 142,125.10/x
  3. Step 3: Cross multiply
    201,417.10x = 302,222.85 × 142,125.10
  4. Step 4: Simplify right side
    201,417.10x = 42,953,452,778.54
  5. Step 5: Solve for x
    x = 42,953,452,778.54/201,417.10
  6. Step 6: Final answer
    x = 213,256.24

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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.