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Finding the Fourth Proportional to 130,495.82, 180,075.70 and 76,770.45

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Solution

The fourth proportional to 130,495.82, 180,075.70 and 76,770.45 is: 105,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,495.82 : 180,075.70 = 76,770.45 : x
  2. Step 2: Convert to fraction form
    130,495.82/180,075.70 = 76,770.45/x
  3. Step 3: Cross multiply
    130,495.82x = 180,075.70 × 76,770.45
  4. Step 4: Simplify right side
    130,495.82x = 13,824,492,331.14
  5. Step 5: Solve for x
    x = 13,824,492,331.14/130,495.82
  6. Step 6: Final answer
    x = 105,938.20

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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.