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Finding the Fourth Proportional to 153,905.80, 230,858.70 and 43,097.80

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Solution

The fourth proportional to 153,905.80, 230,858.70 and 43,097.80 is: 64,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,905.80 : 230,858.70 = 43,097.80 : x
  2. Step 2: Convert to fraction form
    153,905.80/230,858.70 = 43,097.80/x
  3. Step 3: Cross multiply
    153,905.80x = 230,858.70 × 43,097.80
  4. Step 4: Simplify right side
    153,905.80x = 9,949,502,080.86
  5. Step 5: Solve for x
    x = 9,949,502,080.86/153,905.80
  6. Step 6: Final answer
    x = 64,646.70

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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.