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Finding the Fourth Proportional to 102,657, 154,046.94 and 44,289

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Solution

The fourth proportional to 102,657, 154,046.94 and 44,289 is: 66,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657 : 154,046.94 = 44,289 : x
  2. Step 2: Convert to fraction form
    102,657/154,046.94 = 44,289/x
  3. Step 3: Cross multiply
    102,657x = 154,046.94 × 44,289
  4. Step 4: Simplify right side
    102,657x = 6,822,584,925.66
  5. Step 5: Solve for x
    x = 6,822,584,925.66/102,657
  6. Step 6: Final answer
    x = 66,460.01

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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.