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Finding the Fourth Proportional to 130,178.90, 195,268.35 and 47,053.46

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Solution

The fourth proportional to 130,178.90, 195,268.35 and 47,053.46 is: 70,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,178.90 : 195,268.35 = 47,053.46 : x
  2. Step 2: Convert to fraction form
    130,178.90/195,268.35 = 47,053.46/x
  3. Step 3: Cross multiply
    130,178.90x = 195,268.35 × 47,053.46
  4. Step 4: Simplify right side
    130,178.90x = 9,188,051,495.99
  5. Step 5: Solve for x
    x = 9,188,051,495.99/130,178.90
  6. Step 6: Final answer
    x = 70,580.19

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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.