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Finding the Fourth Proportional to 130,665.60, 180,313.43 and 74,075.76

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Solution

The fourth proportional to 130,665.60, 180,313.43 and 74,075.76 is: 102,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,665.60 : 180,313.43 = 74,075.76 : x
  2. Step 2: Convert to fraction form
    130,665.60/180,313.43 = 74,075.76/x
  3. Step 3: Cross multiply
    130,665.60x = 180,313.43 × 74,075.76
  4. Step 4: Simplify right side
    130,665.60x = 13,356,853,995.08
  5. Step 5: Solve for x
    x = 13,356,853,995.08/130,665.60
  6. Step 6: Final answer
    x = 102,221.66

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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.