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Finding the Fourth Proportional to 201,920.40, 302,807.70 and 102,047.40

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Solution

The fourth proportional to 201,920.40, 302,807.70 and 102,047.40 is: 153,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920.40 : 302,807.70 = 102,047.40 : x
  2. Step 2: Convert to fraction form
    201,920.40/302,807.70 = 102,047.40/x
  3. Step 3: Cross multiply
    201,920.40x = 302,807.70 × 102,047.40
  4. Step 4: Simplify right side
    201,920.40x = 30,900,738,484.98
  5. Step 5: Solve for x
    x = 30,900,738,484.98/201,920.40
  6. Step 6: Final answer
    x = 153,034.26

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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.