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Finding the Fourth Proportional to 133,711.58, 184,482.42 and 76,349

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Solution

The fourth proportional to 133,711.58, 184,482.42 and 76,349 is: 105,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,711.58 : 184,482.42 = 76,349 : x
  2. Step 2: Convert to fraction form
    133,711.58/184,482.42 = 76,349/x
  3. Step 3: Cross multiply
    133,711.58x = 184,482.42 × 76,349
  4. Step 4: Simplify right side
    133,711.58x = 14,085,048,284.58
  5. Step 5: Solve for x
    x = 14,085,048,284.58/133,711.58
  6. Step 6: Final answer
    x = 105,339.03

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