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Finding the Fourth Proportional to 201,506.90, 302,260.35 and 142,457.90

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Solution

The fourth proportional to 201,506.90, 302,260.35 and 142,457.90 is: 213,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,506.90 : 302,260.35 = 142,457.90 : x
  2. Step 2: Convert to fraction form
    201,506.90/302,260.35 = 142,457.90/x
  3. Step 3: Cross multiply
    201,506.90x = 302,260.35 × 142,457.90
  4. Step 4: Simplify right side
    201,506.90x = 43,059,374,714.27
  5. Step 5: Solve for x
    x = 43,059,374,714.27/201,506.90
  6. Step 6: Final answer
    x = 213,686.85

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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.