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Finding the Fourth Proportional to 130,762.08, 180,468 and 74,191.68

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Solution

The fourth proportional to 130,762.08, 180,468 and 74,191.68 is: 102,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,762.08 : 180,468 = 74,191.68 : x
  2. Step 2: Convert to fraction form
    130,762.08/180,468 = 74,191.68/x
  3. Step 3: Cross multiply
    130,762.08x = 180,468 × 74,191.68
  4. Step 4: Simplify right side
    130,762.08x = 13,389,224,106.24
  5. Step 5: Solve for x
    x = 13,389,224,106.24/130,762.08
  6. Step 6: Final answer
    x = 102,393.78

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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.