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Finding the Fourth Proportional to 105,790.34, 146,000.14 and 58,053

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Solution

The fourth proportional to 105,790.34, 146,000.14 and 58,053 is: 80,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,790.34 : 146,000.14 = 58,053 : x
  2. Step 2: Convert to fraction form
    105,790.34/146,000.14 = 58,053/x
  3. Step 3: Cross multiply
    105,790.34x = 146,000.14 × 58,053
  4. Step 4: Simplify right side
    105,790.34x = 8,475,746,127.42
  5. Step 5: Solve for x
    x = 8,475,746,127.42/105,790.34
  6. Step 6: Final answer
    x = 80,118.34

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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.