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Finding the Fourth Proportional to 130,473.60, 195,710.40 and 47,356.80

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Solution

The fourth proportional to 130,473.60, 195,710.40 and 47,356.80 is: 71,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,473.60 : 195,710.40 = 47,356.80 : x
  2. Step 2: Convert to fraction form
    130,473.60/195,710.40 = 47,356.80/x
  3. Step 3: Cross multiply
    130,473.60x = 195,710.40 × 47,356.80
  4. Step 4: Simplify right side
    130,473.60x = 9,268,218,270.72
  5. Step 5: Solve for x
    x = 9,268,218,270.72/130,473.60
  6. Step 6: Final answer
    x = 71,035.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.