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Finding the Fourth Proportional to 201,644.40, 302,102.10 and 117,335.55

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Solution

The fourth proportional to 201,644.40, 302,102.10 and 117,335.55 is: 175,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644.40 : 302,102.10 = 117,335.55 : x
  2. Step 2: Convert to fraction form
    201,644.40/302,102.10 = 117,335.55/x
  3. Step 3: Cross multiply
    201,644.40x = 302,102.10 × 117,335.55
  4. Step 4: Simplify right side
    201,644.40x = 35,447,316,059.66
  5. Step 5: Solve for x
    x = 35,447,316,059.66/201,644.40
  6. Step 6: Final answer
    x = 175,791.22

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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.