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Finding the Fourth Proportional to 106,475.52, 146,931.24 and 61,122

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Solution

The fourth proportional to 106,475.52, 146,931.24 and 61,122 is: 84,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,475.52 : 146,931.24 = 61,122 : x
  2. Step 2: Convert to fraction form
    106,475.52/146,931.24 = 61,122/x
  3. Step 3: Cross multiply
    106,475.52x = 146,931.24 × 61,122
  4. Step 4: Simplify right side
    106,475.52x = 8,980,731,251.28
  5. Step 5: Solve for x
    x = 8,980,731,251.28/106,475.52
  6. Step 6: Final answer
    x = 84,345.50

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