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Finding the Fourth Proportional to 230,097.80, 345,195.98 and 130,305.16

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Solution

The fourth proportional to 230,097.80, 345,195.98 and 130,305.16 is: 195,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,097.80 : 345,195.98 = 130,305.16 : x
  2. Step 2: Convert to fraction form
    230,097.80/345,195.98 = 130,305.16/x
  3. Step 3: Cross multiply
    230,097.80x = 345,195.98 × 130,305.16
  4. Step 4: Simplify right side
    230,097.80x = 44,980,817,405.26
  5. Step 5: Solve for x
    x = 44,980,817,405.26/230,097.80
  6. Step 6: Final answer
    x = 195,485.65

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1.5x scale

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.