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Finding the Fourth Proportional to 115,123.32, 158,890.14 and 72,705.24

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Solution

The fourth proportional to 115,123.32, 158,890.14 and 72,705.24 is: 100,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,123.32 : 158,890.14 = 72,705.24 : x
  2. Step 2: Convert to fraction form
    115,123.32/158,890.14 = 72,705.24/x
  3. Step 3: Cross multiply
    115,123.32x = 158,890.14 × 72,705.24
  4. Step 4: Simplify right side
    115,123.32x = 11,552,145,762.33
  5. Step 5: Solve for x
    x = 11,552,145,762.33/115,123.32
  6. Step 6: Final answer
    x = 100,345.84

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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.