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Finding the Fourth Proportional to 200,734.40, 301,101.60 and 153,495.20

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Solution

The fourth proportional to 200,734.40, 301,101.60 and 153,495.20 is: 230,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734.40 : 301,101.60 = 153,495.20 : x
  2. Step 2: Convert to fraction form
    200,734.40/301,101.60 = 153,495.20/x
  3. Step 3: Cross multiply
    200,734.40x = 301,101.60 × 153,495.20
  4. Step 4: Simplify right side
    200,734.40x = 46,217,650,312.32
  5. Step 5: Solve for x
    x = 46,217,650,312.32/200,734.40
  6. Step 6: Final answer
    x = 230,242.80

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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.