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Finding the Fourth Proportional to 283,054.96, 390,615.82 and 155,727.82

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Solution

The fourth proportional to 283,054.96, 390,615.82 and 155,727.82 is: 214,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,054.96 : 390,615.82 = 155,727.82 : x
  2. Step 2: Convert to fraction form
    283,054.96/390,615.82 = 155,727.82/x
  3. Step 3: Cross multiply
    283,054.96x = 390,615.82 × 155,727.82
  4. Step 4: Simplify right side
    283,054.96x = 60,829,750,106.11
  5. Step 5: Solve for x
    x = 60,829,750,106.11/283,054.96
  6. Step 6: Final answer
    x = 214,904.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.