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Finding the Fourth Proportional to 230,965.65, 346,448.48 and 152,168.85

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Solution

The fourth proportional to 230,965.65, 346,448.48 and 152,168.85 is: 228,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,965.65 : 346,448.48 = 152,168.85 : x
  2. Step 2: Convert to fraction form
    230,965.65/346,448.48 = 152,168.85/x
  3. Step 3: Cross multiply
    230,965.65x = 346,448.48 × 152,168.85
  4. Step 4: Simplify right side
    230,965.65x = 52,718,666,025.00
  5. Step 5: Solve for x
    x = 52,718,666,025.00/230,965.65
  6. Step 6: Final answer
    x = 228,253.28

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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.