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Finding the Fourth Proportional to 201,645.13, 302,654.40 and 101,875.54

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Solution

The fourth proportional to 201,645.13, 302,654.40 and 101,875.54 is: 152,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.13 : 302,654.40 = 101,875.54 : x
  2. Step 2: Convert to fraction form
    201,645.13/302,654.40 = 101,875.54/x
  3. Step 3: Cross multiply
    201,645.13x = 302,654.40 × 101,875.54
  4. Step 4: Simplify right side
    201,645.13x = 30,833,080,433.38
  5. Step 5: Solve for x
    x = 30,833,080,433.38/201,645.13
  6. Step 6: Final answer
    x = 152,907.64

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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.