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Finding the Fourth Proportional to 157,050.37, 216,728.50 and 85,430.67

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Solution

The fourth proportional to 157,050.37, 216,728.50 and 85,430.67 is: 117,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,050.37 : 216,728.50 = 85,430.67 : x
  2. Step 2: Convert to fraction form
    157,050.37/216,728.50 = 85,430.67/x
  3. Step 3: Cross multiply
    157,050.37x = 216,728.50 × 85,430.67
  4. Step 4: Simplify right side
    157,050.37x = 18,515,260,963.10
  5. Step 5: Solve for x
    x = 18,515,260,963.10/157,050.37
  6. Step 6: Final answer
    x = 117,893.77

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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.