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Finding the Fourth Proportional to 230,646.60, 345,854.70 and 105,846.60

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Solution

The fourth proportional to 230,646.60, 345,854.70 and 105,846.60 is: 158,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,646.60 : 345,854.70 = 105,846.60 : x
  2. Step 2: Convert to fraction form
    230,646.60/345,854.70 = 105,846.60/x
  3. Step 3: Cross multiply
    230,646.60x = 345,854.70 × 105,846.60
  4. Step 4: Simplify right side
    230,646.60x = 36,607,544,089.02
  5. Step 5: Solve for x
    x = 36,607,544,089.02/230,646.60
  6. Step 6: Final answer
    x = 158,717.03

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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.