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Finding the Fourth Proportional to 201,611.90, 302,417.85 and 142,562.90

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Solution

The fourth proportional to 201,611.90, 302,417.85 and 142,562.90 is: 213,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,611.90 : 302,417.85 = 142,562.90 : x
  2. Step 2: Convert to fraction form
    201,611.90/302,417.85 = 142,562.90/x
  3. Step 3: Cross multiply
    201,611.90x = 302,417.85 × 142,562.90
  4. Step 4: Simplify right side
    201,611.90x = 43,113,565,707.77
  5. Step 5: Solve for x
    x = 43,113,565,707.77/201,611.90
  6. Step 6: Final answer
    x = 213,844.35

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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.