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Finding the Fourth Proportional to 107,118.84, 160,665.28 and 28,239

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Solution

The fourth proportional to 107,118.84, 160,665.28 and 28,239 is: 42,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,118.84 : 160,665.28 = 28,239 : x
  2. Step 2: Convert to fraction form
    107,118.84/160,665.28 = 28,239/x
  3. Step 3: Cross multiply
    107,118.84x = 160,665.28 × 28,239
  4. Step 4: Simplify right side
    107,118.84x = 4,537,026,841.92
  5. Step 5: Solve for x
    x = 4,537,026,841.92/107,118.84
  6. Step 6: Final answer
    x = 42,355.08

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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.