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Finding the Fourth Proportional to 103,214.97, 154,821.02 and 28,335.02

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Solution

The fourth proportional to 103,214.97, 154,821.02 and 28,335.02 is: 42,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,214.97 : 154,821.02 = 28,335.02 : x
  2. Step 2: Convert to fraction form
    103,214.97/154,821.02 = 28,335.02/x
  3. Step 3: Cross multiply
    103,214.97x = 154,821.02 × 28,335.02
  4. Step 4: Simplify right side
    103,214.97x = 4,386,855,782.34
  5. Step 5: Solve for x
    x = 4,386,855,782.34/103,214.97
  6. Step 6: Final answer
    x = 42,502.13

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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.