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Finding the Fourth Proportional to 283,510.70, 425,323.65 and 96,541.10

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Solution

The fourth proportional to 283,510.70, 425,323.65 and 96,541.10 is: 144,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,510.70 : 425,323.65 = 96,541.10 : x
  2. Step 2: Convert to fraction form
    283,510.70/425,323.65 = 96,541.10/x
  3. Step 3: Cross multiply
    283,510.70x = 425,323.65 × 96,541.10
  4. Step 4: Simplify right side
    283,510.70x = 41,061,213,027.02
  5. Step 5: Solve for x
    x = 41,061,213,027.02/283,510.70
  6. Step 6: Final answer
    x = 144,831.26

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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.