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Finding the Fourth Proportional to 201,697.10, 302,545.65 and 130,838.30

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Solution

The fourth proportional to 201,697.10, 302,545.65 and 130,838.30 is: 196,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,697.10 : 302,545.65 = 130,838.30 : x
  2. Step 2: Convert to fraction form
    201,697.10/302,545.65 = 130,838.30/x
  3. Step 3: Cross multiply
    201,697.10x = 302,545.65 × 130,838.30
  4. Step 4: Simplify right side
    201,697.10x = 39,584,558,518.40
  5. Step 5: Solve for x
    x = 39,584,558,518.40/201,697.10
  6. Step 6: Final answer
    x = 196,257.45

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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.