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Finding the Fourth Proportional to 128,715.55, 193,068.06 and 53,816.47

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Solution

The fourth proportional to 128,715.55, 193,068.06 and 53,816.47 is: 80,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,715.55 : 193,068.06 = 53,816.47 : x
  2. Step 2: Convert to fraction form
    128,715.55/193,068.06 = 53,816.47/x
  3. Step 3: Cross multiply
    128,715.55x = 193,068.06 × 53,816.47
  4. Step 4: Simplify right side
    128,715.55x = 10,390,241,458.95
  5. Step 5: Solve for x
    x = 10,390,241,458.95/128,715.55
  6. Step 6: Final answer
    x = 80,722.50

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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.