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Finding the Fourth Proportional to 134,483.76, 201,769.20 and 64,368

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Solution

The fourth proportional to 134,483.76, 201,769.20 and 64,368 is: 96,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,483.76 : 201,769.20 = 64,368 : x
  2. Step 2: Convert to fraction form
    134,483.76/201,769.20 = 64,368/x
  3. Step 3: Cross multiply
    134,483.76x = 201,769.20 × 64,368
  4. Step 4: Simplify right side
    134,483.76x = 12,987,479,865.60
  5. Step 5: Solve for x
    x = 12,987,479,865.60/134,483.76
  6. Step 6: Final answer
    x = 96,572.85

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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.