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Finding the Fourth Proportional to 201,618.10, 302,463.60 and 101,526.40

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Solution

The fourth proportional to 201,618.10, 302,463.60 and 101,526.40 is: 152,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,618.10 : 302,463.60 = 101,526.40 : x
  2. Step 2: Convert to fraction form
    201,618.10/302,463.60 = 101,526.40/x
  3. Step 3: Cross multiply
    201,618.10x = 302,463.60 × 101,526.40
  4. Step 4: Simplify right side
    201,618.10x = 30,708,040,439.04
  5. Step 5: Solve for x
    x = 30,708,040,439.04/201,618.10
  6. Step 6: Final answer
    x = 152,307.95

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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.