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Finding the Fourth Proportional to 230,277.96, 345,415.02 and 64,065.48

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Solution

The fourth proportional to 230,277.96, 345,415.02 and 64,065.48 is: 96,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,277.96 : 345,415.02 = 64,065.48 : x
  2. Step 2: Convert to fraction form
    230,277.96/345,415.02 = 64,065.48/x
  3. Step 3: Cross multiply
    230,277.96x = 345,415.02 × 64,065.48
  4. Step 4: Simplify right side
    230,277.96x = 22,129,179,055.51
  5. Step 5: Solve for x
    x = 22,129,179,055.51/230,277.96
  6. Step 6: Final answer
    x = 96,097.69

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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.