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Finding the Fourth Proportional to 157,014, 235,200.24 and 130,633.92

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Solution

The fourth proportional to 157,014, 235,200.24 and 130,633.92 is: 195,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,014 : 235,200.24 = 130,633.92 : x
  2. Step 2: Convert to fraction form
    157,014/235,200.24 = 130,633.92/x
  3. Step 3: Cross multiply
    157,014x = 235,200.24 × 130,633.92
  4. Step 4: Simplify right side
    157,014x = 30,725,129,336.14
  5. Step 5: Solve for x
    x = 30,725,129,336.14/157,014
  6. Step 6: Final answer
    x = 195,684.01

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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.