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Finding the Fourth Proportional to 230,022.40, 317,440.02 and 128,052.40

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Solution

The fourth proportional to 230,022.40, 317,440.02 and 128,052.40 is: 176,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,022.40 : 317,440.02 = 128,052.40 : x
  2. Step 2: Convert to fraction form
    230,022.40/317,440.02 = 128,052.40/x
  3. Step 3: Cross multiply
    230,022.40x = 317,440.02 × 128,052.40
  4. Step 4: Simplify right side
    230,022.40x = 40,648,956,417.05
  5. Step 5: Solve for x
    x = 40,648,956,417.05/230,022.40
  6. Step 6: Final answer
    x = 176,717.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.