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Finding the Fourth Proportional to 145,112.80, 217,669.20 and 136,364.80

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Solution

The fourth proportional to 145,112.80, 217,669.20 and 136,364.80 is: 204,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,112.80 : 217,669.20 = 136,364.80 : x
  2. Step 2: Convert to fraction form
    145,112.80/217,669.20 = 136,364.80/x
  3. Step 3: Cross multiply
    145,112.80x = 217,669.20 × 136,364.80
  4. Step 4: Simplify right side
    145,112.80x = 29,682,416,924.16
  5. Step 5: Solve for x
    x = 29,682,416,924.16/145,112.80
  6. Step 6: Final answer
    x = 204,547.20

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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.