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Finding the Fourth Proportional to 133,145.14, 183,732.16 and 72,703.50

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Solution

The fourth proportional to 133,145.14, 183,732.16 and 72,703.50 is: 100,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,145.14 : 183,732.16 = 72,703.50 : x
  2. Step 2: Convert to fraction form
    133,145.14/183,732.16 = 72,703.50/x
  3. Step 3: Cross multiply
    133,145.14x = 183,732.16 × 72,703.50
  4. Step 4: Simplify right side
    133,145.14x = 13,357,971,094.56
  5. Step 5: Solve for x
    x = 13,357,971,094.56/133,145.14
  6. Step 6: Final answer
    x = 100,326.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.