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Finding the Fourth Proportional to 106,762.61, 147,327.90 and 61,442.15

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Solution

The fourth proportional to 106,762.61, 147,327.90 and 61,442.15 is: 84,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,762.61 : 147,327.90 = 61,442.15 : x
  2. Step 2: Convert to fraction form
    106,762.61/147,327.90 = 61,442.15/x
  3. Step 3: Cross multiply
    106,762.61x = 147,327.90 × 61,442.15
  4. Step 4: Simplify right side
    106,762.61x = 9,052,142,194.35
  5. Step 5: Solve for x
    x = 9,052,142,194.35/106,762.61
  6. Step 6: Final answer
    x = 84,787.57

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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.