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Finding the Fourth Proportional to 237,134.51, 355,701.77 and 96,893

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Solution

The fourth proportional to 237,134.51, 355,701.77 and 96,893 is: 145,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,134.51 : 355,701.77 = 96,893 : x
  2. Step 2: Convert to fraction form
    237,134.51/355,701.77 = 96,893/x
  3. Step 3: Cross multiply
    237,134.51x = 355,701.77 × 96,893
  4. Step 4: Simplify right side
    237,134.51x = 34,465,011,600.61
  5. Step 5: Solve for x
    x = 34,465,011,600.61/237,134.51
  6. Step 6: Final answer
    x = 145,339.50

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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.