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Finding the Fourth Proportional to 129,415.53, 193,860.53 and 65,334.11

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Solution

The fourth proportional to 129,415.53, 193,860.53 and 65,334.11 is: 97,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,415.53 : 193,860.53 = 65,334.11 : x
  2. Step 2: Convert to fraction form
    129,415.53/193,860.53 = 65,334.11/x
  3. Step 3: Cross multiply
    129,415.53x = 193,860.53 × 65,334.11
  4. Step 4: Simplify right side
    129,415.53x = 12,665,703,895.71
  5. Step 5: Solve for x
    x = 12,665,703,895.71/129,415.53
  6. Step 6: Final answer
    x = 97,868.50

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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.