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Finding the Fourth Proportional to 283,048.29, 424,558.55 and 105,541.42

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Solution

The fourth proportional to 283,048.29, 424,558.55 and 105,541.42 is: 158,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,048.29 : 424,558.55 = 105,541.42 : x
  2. Step 2: Convert to fraction form
    283,048.29/424,558.55 = 105,541.42/x
  3. Step 3: Cross multiply
    283,048.29x = 424,558.55 × 105,541.42
  4. Step 4: Simplify right side
    283,048.29x = 44,808,510,117.35
  5. Step 5: Solve for x
    x = 44,808,510,117.35/283,048.29
  6. Step 6: Final answer
    x = 158,306.95

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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.