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Finding the Fourth Proportional to 201,225.10, 302,420.85 and 175,564.30

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Solution

The fourth proportional to 201,225.10, 302,420.85 and 175,564.30 is: 263,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225.10 : 302,420.85 = 175,564.30 : x
  2. Step 2: Convert to fraction form
    201,225.10/302,420.85 = 175,564.30/x
  3. Step 3: Cross multiply
    201,225.10x = 302,420.85 × 175,564.30
  4. Step 4: Simplify right side
    201,225.10x = 53,094,304,835.66
  5. Step 5: Solve for x
    x = 53,094,304,835.66/201,225.10
  6. Step 6: Final answer
    x = 263,855.28

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1.5x scale

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.