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Finding the Fourth Proportional to 130,340.66, 195,505.10 and 35,570.50

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Solution

The fourth proportional to 130,340.66, 195,505.10 and 35,570.50 is: 53,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,340.66 : 195,505.10 = 35,570.50 : x
  2. Step 2: Convert to fraction form
    130,340.66/195,505.10 = 35,570.50/x
  3. Step 3: Cross multiply
    130,340.66x = 195,505.10 × 35,570.50
  4. Step 4: Simplify right side
    130,340.66x = 6,954,214,159.55
  5. Step 5: Solve for x
    x = 6,954,214,159.55/130,340.66
  6. Step 6: Final answer
    x = 53,354.14

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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.