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Finding the Fourth Proportional to 106,602.54, 147,095.76 and 61,282.44

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Solution

The fourth proportional to 106,602.54, 147,095.76 and 61,282.44 is: 84,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,602.54 : 147,095.76 = 61,282.44 : x
  2. Step 2: Convert to fraction form
    106,602.54/147,095.76 = 61,282.44/x
  3. Step 3: Cross multiply
    106,602.54x = 147,095.76 × 61,282.44
  4. Step 4: Simplify right side
    106,602.54x = 9,014,387,086.45
  5. Step 5: Solve for x
    x = 9,014,387,086.45/106,602.54
  6. Step 6: Final answer
    x = 84,560.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.