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Finding the Fourth Proportional to 105,833.30, 146,051.70 and 58,091.08

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Solution

The fourth proportional to 105,833.30, 146,051.70 and 58,091.08 is: 80,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,833.30 : 146,051.70 = 58,091.08 : x
  2. Step 2: Convert to fraction form
    105,833.30/146,051.70 = 58,091.08/x
  3. Step 3: Cross multiply
    105,833.30x = 146,051.70 × 58,091.08
  4. Step 4: Simplify right side
    105,833.30x = 8,484,300,988.84
  5. Step 5: Solve for x
    x = 8,484,300,988.84/105,833.30
  6. Step 6: Final answer
    x = 80,166.65

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1.5x scale

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.