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Finding the Fourth Proportional to 130,470.90, 195,539.07 and 113,533.50

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Solution

The fourth proportional to 130,470.90, 195,539.07 and 113,533.50 is: 170,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,470.90 : 195,539.07 = 113,533.50 : x
  2. Step 2: Convert to fraction form
    130,470.90/195,539.07 = 113,533.50/x
  3. Step 3: Cross multiply
    130,470.90x = 195,539.07 × 113,533.50
  4. Step 4: Simplify right side
    130,470.90x = 22,200,234,026.15
  5. Step 5: Solve for x
    x = 22,200,234,026.15/130,470.90
  6. Step 6: Final answer
    x = 170,154.68

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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.