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Finding the Fourth Proportional to 283,271.16, 424,595.70 and 96,141.72

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Solution

The fourth proportional to 283,271.16, 424,595.70 and 96,141.72 is: 144,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,271.16 : 424,595.70 = 96,141.72 : x
  2. Step 2: Convert to fraction form
    283,271.16/424,595.70 = 96,141.72/x
  3. Step 3: Cross multiply
    283,271.16x = 424,595.70 × 96,141.72
  4. Step 4: Simplify right side
    283,271.16x = 40,821,360,902.60
  5. Step 5: Solve for x
    x = 40,821,360,902.60/283,271.16
  6. Step 6: Final answer
    x = 144,107.01

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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.