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Finding the Fourth Proportional to 201,734.90, 302,602.35 and 130,876.10

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Solution

The fourth proportional to 201,734.90, 302,602.35 and 130,876.10 is: 196,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,734.90 : 302,602.35 = 130,876.10 : x
  2. Step 2: Convert to fraction form
    201,734.90/302,602.35 = 130,876.10/x
  3. Step 3: Cross multiply
    201,734.90x = 302,602.35 × 130,876.10
  4. Step 4: Simplify right side
    201,734.90x = 39,603,415,418.84
  5. Step 5: Solve for x
    x = 39,603,415,418.84/201,734.90
  6. Step 6: Final answer
    x = 196,314.15

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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.