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Finding the Fourth Proportional to 157,349.94, 235,814.72 and 57,416.19

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Solution

The fourth proportional to 157,349.94, 235,814.72 and 57,416.19 is: 86,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,349.94 : 235,814.72 = 57,416.19 : x
  2. Step 2: Convert to fraction form
    157,349.94/235,814.72 = 57,416.19/x
  3. Step 3: Cross multiply
    157,349.94x = 235,814.72 × 57,416.19
  4. Step 4: Simplify right side
    157,349.94x = 13,539,582,481.24
  5. Step 5: Solve for x
    x = 13,539,582,481.24/157,349.94
  6. Step 6: Final answer
    x = 86,047.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.