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Finding the Fourth Proportional to 154,965.40, 232,448.10 and 154,965.40

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Solution

The fourth proportional to 154,965.40, 232,448.10 and 154,965.40 is: 232,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,965.40 : 232,448.10 = 154,965.40 : x
  2. Step 2: Convert to fraction form
    154,965.40/232,448.10 = 154,965.40/x
  3. Step 3: Cross multiply
    154,965.40x = 232,448.10 × 154,965.40
  4. Step 4: Simplify right side
    154,965.40x = 36,021,412,795.74
  5. Step 5: Solve for x
    x = 36,021,412,795.74/154,965.40
  6. Step 6: Final answer
    x = 232,448.10

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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.