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Finding the Fourth Proportional to 134,909.76, 202,374.44 and 51,803.76

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Solution

The fourth proportional to 134,909.76, 202,374.44 and 51,803.76 is: 77,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,909.76 : 202,374.44 = 51,803.76 : x
  2. Step 2: Convert to fraction form
    134,909.76/202,374.44 = 51,803.76/x
  3. Step 3: Cross multiply
    134,909.76x = 202,374.44 × 51,803.76
  4. Step 4: Simplify right side
    134,909.76x = 10,483,756,919.89
  5. Step 5: Solve for x
    x = 10,483,756,919.89/134,909.76
  6. Step 6: Final answer
    x = 77,709.40

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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.