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Finding the Fourth Proportional to 106,690.56, 147,235.89 and 58,946.93

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Solution

The fourth proportional to 106,690.56, 147,235.89 and 58,946.93 is: 81,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,690.56 : 147,235.89 = 58,946.93 : x
  2. Step 2: Convert to fraction form
    106,690.56/147,235.89 = 58,946.93/x
  3. Step 3: Cross multiply
    106,690.56x = 147,235.89 × 58,946.93
  4. Step 4: Simplify right side
    106,690.56x = 8,679,103,701.32
  5. Step 5: Solve for x
    x = 8,679,103,701.32/106,690.56
  6. Step 6: Final answer
    x = 81,348.38

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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.