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Finding the Fourth Proportional to 254,113.29, 381,205.05 and 85,681.77

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Solution

The fourth proportional to 254,113.29, 381,205.05 and 85,681.77 is: 128,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,113.29 : 381,205.05 = 85,681.77 : x
  2. Step 2: Convert to fraction form
    254,113.29/381,205.05 = 85,681.77/x
  3. Step 3: Cross multiply
    254,113.29x = 381,205.05 × 85,681.77
  4. Step 4: Simplify right side
    254,113.29x = 32,662,323,416.94
  5. Step 5: Solve for x
    x = 32,662,323,416.94/254,113.29
  6. Step 6: Final answer
    x = 128,534.50

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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.