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Finding the Fourth Proportional to 201,802.20, 302,703.30 and 180,029.40

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Solution

The fourth proportional to 201,802.20, 302,703.30 and 180,029.40 is: 270,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,802.20 : 302,703.30 = 180,029.40 : x
  2. Step 2: Convert to fraction form
    201,802.20/302,703.30 = 180,029.40/x
  3. Step 3: Cross multiply
    201,802.20x = 302,703.30 × 180,029.40
  4. Step 4: Simplify right side
    201,802.20x = 54,495,493,477.02
  5. Step 5: Solve for x
    x = 54,495,493,477.02/201,802.20
  6. Step 6: Final answer
    x = 270,044.10

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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.