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Finding the Fourth Proportional to 283,228.64, 424,741.76 and 93,654.01

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Solution

The fourth proportional to 283,228.64, 424,741.76 and 93,654.01 is: 140,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,228.64 : 424,741.76 = 93,654.01 : x
  2. Step 2: Convert to fraction form
    283,228.64/424,741.76 = 93,654.01/x
  3. Step 3: Cross multiply
    283,228.64x = 424,741.76 × 93,654.01
  4. Step 4: Simplify right side
    283,228.64x = 39,778,769,038.46
  5. Step 5: Solve for x
    x = 39,778,769,038.46/283,228.64
  6. Step 6: Final answer
    x = 140,447.55

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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.