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Finding the Fourth Proportional to 283,277.60, 424,935.60 and 96,303.20

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Solution

The fourth proportional to 283,277.60, 424,935.60 and 96,303.20 is: 144,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,277.60 : 424,935.60 = 96,303.20 : x
  2. Step 2: Convert to fraction form
    283,277.60/424,935.60 = 96,303.20/x
  3. Step 3: Cross multiply
    283,277.60x = 424,935.60 × 96,303.20
  4. Step 4: Simplify right side
    283,277.60x = 40,922,658,073.92
  5. Step 5: Solve for x
    x = 40,922,658,073.92/283,277.60
  6. Step 6: Final answer
    x = 144,461.33

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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.