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Finding the Fourth Proportional to 130,563.90, 195,858 and 46,315.80

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Solution

The fourth proportional to 130,563.90, 195,858 and 46,315.80 is: 69,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,563.90 : 195,858 = 46,315.80 : x
  2. Step 2: Convert to fraction form
    130,563.90/195,858 = 46,315.80/x
  3. Step 3: Cross multiply
    130,563.90x = 195,858 × 46,315.80
  4. Step 4: Simplify right side
    130,563.90x = 9,071,319,956.40
  5. Step 5: Solve for x
    x = 9,071,319,956.40/130,563.90
  6. Step 6: Final answer
    x = 69,478.01

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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.