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Finding the Fourth Proportional to 201,742.83, 302,526.72 and 68,587.32

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Solution

The fourth proportional to 201,742.83, 302,526.72 and 68,587.32 is: 102,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742.83 : 302,526.72 = 68,587.32 : x
  2. Step 2: Convert to fraction form
    201,742.83/302,526.72 = 68,587.32/x
  3. Step 3: Cross multiply
    201,742.83x = 302,526.72 × 68,587.32
  4. Step 4: Simplify right side
    201,742.83x = 20,749,496,953.19
  5. Step 5: Solve for x
    x = 20,749,496,953.19/201,742.83
  6. Step 6: Final answer
    x = 102,851.22

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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.